Guy Bouchitte

160

Documents

Publications

	Relaxed many-body optimal transport and related asymptotics Ugo Bindini , Guy Bouchitté Advances in Calculus of Variation, inPress, ⟨10.1515/acv-2022-0085⟩ Journal articles hal-04264277v1
	Optimal design versus maximal Monge-Kantorovich metrics Karol Bołbotowski , Guy Bouchitté Archive for Rational Mechanics and Analysis, inPress, ⟨10.1007/s00205-021-01728-2⟩ Journal articles hal-03208669v1
	Dissociating limit in Density Functional Theory with Coulomb optimal transport cost. Guy Bouchitté , Thierry Champion , Giuseppe Buttazzo , Luigi de Pascale Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2021, pp.14. ⟨10.2422/2036-2145.202011_110⟩ Journal articles hal-03353571v1
	Relaxed multi-marginal costs and quantization effects Guy Bouchitté , Giuseppe Buttazzo , Thierry Champion , Luigi de Pascale Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.06.004⟩ Journal articles hal-02953331v1
	A new class of cost for optimal transport planning Jean-Jacques Alibert , Guy Bouchitté , Thierry Champion European Journal of Applied Mathematics, 2019, 30 (6), pp.1229-1263. ⟨10.1017/s0956792518000669⟩ Journal articles hal-03353658v1
	On the forces that cable webs under tension can support and how to design cable webs to channel stresses Guy Bouchitté , Ornella Mattei , Graeme Milton , Pierre Seppecher Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019, 475 (2223), pp.20180781. ⟨10.1098/rspa.2018.0781⟩ Journal articles hal-02188481v1
	ON A DEGENERATE PROBLEM IN THE CALCULUS OF VARIATIONS Guy Bouchitté , Pierre Bousquet Transactions of the American Mathematical Society, 2018, 371 (2), pp.777-807. ⟨10.1090/tran/7570⟩ Journal articles hal-01405468v2
	A duality recipe for non-convex variational problems Guy Bouchitté , Tran Duc Minh Phan Comptes Rendus Mécanique, 2018, 346 (3), pp.206 - 221. ⟨10.1016/j.crme.2017.12.011⟩ Journal articles hal-01803520v1
	A Duality Theory for Non-convex Problems in the Calculus of Variations Guy Bouchitté , Ilaria Fragalà Archive for Rational Mechanics and Analysis, 2018, 229 (1), pp.361 - 415. ⟨10.1007/s00205-018-1219-3⟩ Journal articles hal-01804593v1
	Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi Applied Mathematics and Optimization, 2017, ⟨10.1007/s00245-017-9455-8⟩ Journal articles hal-01635229v1
	Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials Guy Bouchitté , Christophe Bourel , Didier Felbacq Archive for Rational Mechanics and Analysis, 2017, 225 (3), pp.1233-1277. ⟨10.1007/s00205-017-1132-1⟩ Journal articles hal-01240316v1
	Optimal design problems for Schrödinger operators with noncompact resolvents Guy Bouchitté , Giuseppe Buttazzo ESAIM: Control, Optimisation and Calculus of Variations, 2016, ⟨10.1051/cocv/2016009⟩ Journal articles hal-01312614v1
	A Variational Method for Second Order Shape Derivatives Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi SIAM Journal on Control and Optimization, 2016, 54 (2), pp.1056-1084 Journal articles hal-01312617v1
	Resonant effects in random dielectric structures Guy Bouchitté , Christophe Bourel , Luigi Manca ESAIM: Control, Optimisation and Calculus of Variations, 2015, 21 (1), pp.217--246. ⟨10.1051/cocv/2014026⟩ Journal articles hal-01283185v1
	Duality for non-convex variational problems Guy Bouchitté , Ilaria Fragalà Comptes Rendus. Mathématique, 2015, 353 (4), pp.375--379. ⟨10.1016/j.crma.2015.01.014⟩ Journal articles hal-01283184v1
	Shape derivatives for minima of integral functionals Ilaria Fragalà , Ilaria Lucardesi , Guy Bouchitté Mathematical Programming, 2014, pp.27. ⟨10.1007/s10107-013-0712-6⟩ Journal articles hal-01127679v1
	A nonstandard free boundary problem arising in the shape optimization of thin torsion rods Jean-Jacques Alibert , Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi Interfaces Free Boundaries, 2013, 15 (1), pp.95-119. ⟨10.4171/IFB/296⟩ Journal articles hal-00993897v1
	Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings Guy Bouchitté , Ben Schweizer Netw. Heterog. Media, 2013, 8 (4), pp.857--878. ⟨10.3934/nhm.2013.8.857⟩ Journal articles hal-01283186v1
	Multiscale nanorod metamaterials and realizable permittivity tensors Guy Bouchitté , C. Bourel Communications in Computational Physics, 2012, 11 (2), pp.489--507. ⟨10.4208/cicp.171209.110810s⟩ Journal articles hal-01283187v1
	Thin waveguides with Robin boundary conditions Guy Bouchitté , Lu'Isa Mascarenhas , Lu'Is Trabucho Journal of Mathematical Physics, 2012, 53 (12), pp.123517, 24. ⟨10.1063/1.4768462⟩ Journal articles hal-01283188v1
	Optimal thin torsion rods and Cheeger sets Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi , Pierre Seppecher SIAM Journal on Mathematical Analysis, 2012, 44 (1), pp.483--512. ⟨10.1137/110828538⟩ Journal articles hal-01283189v1
	Excitonic states and their wave functions in anisotropic materials: a computation using the finite element method and its application to AlN Bernard Gil , Didier Felbacq , Brahim Guizal , Guy Bouchitté physica status solidi (b), 2012, 249 (3), pp.455. ⟨10.1002/pssb.201100142⟩ Journal articles hal-00686782v1
	Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher Archive for Rational Mechanics and Analysis, 2011, 202 (3), pp.829-874. ⟨10.1007/s00205-011-0435-x⟩ Journal articles hal-01294103v1
	Quantitative interpretation of the excitonic splittings in aluminum nitride B. Gil , B. Guizal , D. Felbacq , Guy Bouchitté European Physical Journal: Applied Physics, 2011, 53 (2), ⟨10.1051/epjap/2010100448⟩ Journal articles hal-00663998v1
	Quantitative interpretation of the excitonic splitting in aluminum nitride Bernard Gil , B. Guizal , D. Felbacq , Guy Bouchitté European Physical Journal: Applied Physics, 2011, 53 (2), pp.3. ⟨10.1051/epjap/2010100448⟩ Journal articles hal-00633617v1
	Homogenization of nonlocal wire metamaterial via a renormalization approach Alexandru Ioan Căbuz , André Nicolet , Frederic Zolla , Didier Felbacq , Guy Bouchitté Journal of the Optical Society of America B, 2011 Journal articles hal-01281122v1
	Homogenization of nonlocal wire metamaterial via a renormalization approach Alexandru Cabuz , A. Nicolet , F. Zolla , Didier Felbacq , Guy Bouchitté Journal of the Optical Society of America B, 2011, 28 (5), pp.1275-1282. ⟨10.1364/JOSAB.28.001275⟩ Journal articles hal-00808333v1
	Asymptotic analysis of a class of optimal location problems Guy Bouchitté , Chloé Jimenez , Rajesh Mahadevan Journal de Mathématiques Pures et Appliquées, 2011, 95 (4), pp.382--419. ⟨10.1016/j.matpur.2010.10.009⟩ Journal articles hal-01283190v1
	Homogenization of Dielectric Photonic Quasi Crystals Guy Bouchitté , Sébastien Guenneau , Frédéric Zolla Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (5), pp.1862-1881. ⟨10.1137/090770333⟩ Journal articles hal-00544537v1
	Homogenization of Maxwell's equations in a split ring geometry Guy Bouchitté , Ben Schweizer Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (3), pp.717--750. ⟨10.1137/09074557X⟩ Journal articles hal-01283192v1
	The Monge-Kantorovich problem for distributions and applications Guy Bouchitté , Giuseppe Buttazzo , Luigi de Pascale J. Convex Anal., 2010, 17 (3-4), pp.925--943 Journal articles hal-01283194v1
	Cloaking of small objects by anomalous localized resonance Guy Bouchitté , Ben Schweizer Quarterly Journal of Mechanics and Applied Mathematics, 2010, 63 (4), pp.437--463. ⟨10.1093/qjmam/hbq008⟩ Journal articles hal-01283193v1
	The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.467--471. ⟨10.1016/j.crma.2010.01.006⟩ Journal articles hal-01283191v1
	The Cosserat vector in membrane theory: a variational approach Irene Fonseca , M. Lu'Isa Mascarenhas , Guy Bouchitté J. Convex Anal., 2009, 16 (2), pp.351--365 Journal articles hal-01283196v1
	Effective properties of membrane photonic crystals D. Felbacq , Brahim Guizal , Christophe Bourel , Guy Bouchitté Journal of Nanophotonics, 2009, 3, pp.031507. ⟨10.1117/1.3097796⟩ Journal articles hal-00385872v1
	A complete-damage problem at small strains Guy Bouchitté , Alexander Mielke , Tomáš Roub'Iček Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2009, 60 (2), pp.205--236. ⟨10.1007/s00033-007-7064-0⟩ Journal articles hal-01283195v1
	Homogenization of the 3D Maxwell system near resonances and artificial magnetism Christophe Bourel , Didier Felbacq , Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347, pp.571-576. ⟨10.1016/j.crma.2009.02.027⟩ Journal articles hal-00385882v1
	A general class of phase transition models with weighted interface energy E. Acerbi , Guy Bouchitté Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2008, 25 (6), pp.1111--1143. ⟨10.1016/j.anihpc.2007.09.004⟩ Journal articles hal-01283197v1
	Pure currents in foliated waveguides Frédéric Zolla , Guy Bouchitté , Sébastien Guenneau Quarterly Journal of Mechanics and Applied Mathematics, 2008, 61, pp.453-474. ⟨10.1093/qjmam/hbn015⟩ Journal articles hal-00439076v1
	Two-scale approach to the homogenization of membrane photonic crystals D. Felbacq , Guy Bouchitté , B. Guizal , A. Moreau Journal of Nanophotonics, 2008, 2 (1), pp.023501. ⟨10.1117/1.2884039⟩ Journal articles hal-00255910v1
	Michell Trusses and Lines of Principal Action Guy Bouchitté , Wilfrid Gangbo , Pierre Seppecher Mathematical Models and Methods in Applied Sciences, 2008, 18 (9), pp.1571-1603 Journal articles hal-00528973v1
	A new L^∞ estimate in optimal mass transport Guy Bouchitté , Chloé Jimenez , M. Rajesh Proceedings of the American Mathematical Society, 2007, 135 (11), pp.3525--3535. ⟨10.1090/S0002-9939-07-08877-6⟩ Journal articles hal-01283199v1
	Optimal design of thin plates by a dimension reduction for linear constrained problems Guy Bouchitté , Ilaria Fragalà SIAM Journal on Control and Optimization, 2007, 46 (5), pp.1664--1682. ⟨10.1137/060671474⟩ Journal articles hal-01283200v1
	Optimality conditions for mass design problems and applications to thin plates Guy Bouchitté , Ilaria Fragalà Archive for Rational Mechanics and Analysis, 2007, 184 (2), pp.257--284. ⟨10.1007/s00205-006-0022-8⟩ Journal articles hal-01283198v1
	3D-2D analysis for the optimal elastic compliance problem Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher Comptes Rendus. Mathématique, 2007, 345 (12), pp.713--718. ⟨10.1016/j.crma.2007.10.039⟩ Journal articles hal-01283202v1
	On the curvature and torsion effects in one dimensional waveguides Guy Bouchitté , M. Lu'Isa Mascarenhas , Lu'Is Trabucho ESAIM: Control, Optimisation and Calculus of Variations, 2007, 13 (4), pp.793--808. ⟨10.1051/cocv:2007042⟩ Journal articles hal-01283201v1
	Homogenization of a wire photonic crystal: The case of small volume fraction Guy Bouchitté , Didier Felbacq SIAM Journal on Applied Mathematics, 2006, 66, pp.2061-2084. ⟨10.1137/050633147⟩ Journal articles hal-00437973v1
	Bloch vector dependence of the plasma frequency in metallic photonic crystals Frederic Zolla , Didier Felbacq , Guy Bouchitté Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74, pp.056612. ⟨10.1103/PhysRevE.74.056612⟩ Journal articles hal-00437974v1
	Do Fresnel coefficients exist ? Didier Felbacq , Frédéric Zolla , Guy Bouchitté Wave Motion, 2005, 42, pp.75-95. ⟨10.1016/j.wavemoti.2004.10.001⟩ Journal articles hal-00385815v1
	Left-handed media and homogenization of photonic crystals Didier Felbacq , Guy Bouchitté Optics Letters, 2005, 30, pp.1189-1191. ⟨10.1364/OL.30.001189⟩ Journal articles hal-00437977v1
	Negative refraction in periodic and random photonic crystals Didier Felbacq , Guy Bouchitté New Journal of Physics, 2005, 7, pp.159. ⟨10.1088/1367-2630/7/1/159⟩ Journal articles hal-00437979v1
	Theory of mesoscopic magnetism in photonic crystals Didier Felbacq , Guy Bouchitté Physical Review Letters, 2005, 94, pp.183902. ⟨10.1103/PhysRevLett.94.183902⟩ Journal articles hal-00437978v1
	Rate of convergence for correctors in almost periodic homogenization Andriy Bondarenko , Guy Bouchitté , Lu'Isa Mascarenhas , Rajesh Mahadevan Discrete and Continuous Dynamical Systems - Series A, 2005, 13 (2), pp.503--514. ⟨10.3934/dcds.2005.13.503⟩ Journal articles hal-01283203v1
	Completion of the space of measures in the Kantorovich norm Guy Bouchitté , Thierry Champion , C. Jiménez Riv. Mat. Univ. Parma (7), 2005, 4, pp.127--139 Journal articles hal-01283427v1*
	Homogenization near resonances and artificial magnetism from dielectrics Guy Bouchitté , Didier Felbacq Comptes Rendus. Mathématique, 2004, 339 (5), pp.377--382. ⟨10.1016/j.crma.2004.06.018⟩ Journal articles hal-01283206v1
	Homogenization of second order energies on periodic thin structures M. Rajesh , Guy Bouchitté , Ilaria Fragalà Calculus of Variations and Partial Differential Equations, 2004, 20 (2), pp.175--211. ⟨10.1007/s00526-003-0232-y⟩ Journal articles hal-01283205v1
	Second-order energies on thin structures: variational theory and non-local effects Guy Bouchitté , Ilaria Fragalà Journal of Functional Analysis, 2003, 204 (1), pp.228--267. ⟨10.1016/S0022-1236(02)00181-7⟩ Journal articles hal-01283211v1
	A p-Laplacian approximation for some mass optimization problems Guy Bouchitté , G. Buttazzo , L. de Pascale Journal of Optimization Theory and Applications, 2003, 118 (1), pp.1--25. ⟨10.1023/A:1024751022715⟩ Journal articles hal-01283207v1
	The calibration method for the Mumford-Shah functional and free-discontinuity problems Giovanni Alberti , Guy Bouchitté , Gianni Dal Maso Calculus of Variations and Partial Differential Equations, 2003, 16 (3), pp.299--333. ⟨10.1007/s005260100152⟩ Journal articles hal-01283208v1
	Bending moment in membrane theory Guy Bouchitté , Irene Fonseca , M. Lu'Isa Mascarenhas Journal of Elasticity, 2003, 73 (1-3), pp.75--99 (2004). ⟨10.1023/B:ELAS.0000029996.20973.92⟩ Journal articles hal-01283209v1
	A global method for relaxation in W^1,p and in \rm SBVₚ Guy Bouchitté , Irene Fonseca , Giovanni Leoni , Lu'Isa Mascarenhas Archive for Rational Mechanics and Analysis, 2002, 165 (3), pp.187--242. ⟨10.1007/s00205-002-0220-y⟩ Journal articles hal-01283213v1
	Homogenization of elastic thin structures: a measure-fattening approach Guy Bouchitté , Ilaria Fragalà J. Convex Anal., 2002, 9 (2), pp.339--362 Journal articles hal-01283276v1
	Asymptotique d'un problème de positionnement optimal Guy Bouchitté , Chloé Jimenez , Mahadevan Rajesh Comptes Rendus. Mathématique, 2002, 335 (10), pp.853--858. ⟨10.1016/S1631-073X(02)02575-X⟩ Journal articles hal-01283218v1
	Bounds for the effective coefficients and homogenized low-dimensional structures Guy Bouchitté , Giuseppe Buttazzo , Ilaria Fragalà Journal de Mathématiques Pures et Appliquées, 2002, 81 (5), pp.453--469. ⟨10.1016/S0021-7824(01)01234-X⟩ Journal articles hal-01283214v1
	Optimal design of stratified media Guy Bouchitté , Tomáš Roub'Iček Advances in Mathematical Sciences and Applications, 2002, 12 (1), pp.135--150 Journal articles hal-01283390v1
	Characterization of optimal shapes and masses through Monge-Kantorovich equation Guy Bouchitté , Giuseppe Buttazzo Journal of the European Mathematical Society, 2001, 3 (2), pp.139--168. ⟨10.1007/s100970000027⟩ Journal articles hal-01283220v1
	Homogenization of thin structures by two-scale method with respect to measures Guy Bouchitté , Ilaria Fragalà SIAM Journal on Mathematical Analysis, 2001, 32 (6), pp.1198--1226. ⟨10.1137/S0036141000370260⟩ Journal articles hal-01283219v1
	Convergence of Sobolev spaces on varying manifolds Guy Bouchitté , Giuseppe Buttazzo , Ilaria Fragalà J. Geom. Anal., 2001, 11 (3), pp.399--422. ⟨10.1007/BF02922012⟩ Journal articles hal-01283221v1
	Regularization of a set function―-application to integral representation Guy Bouchitté , Michel Bellieud Ricerche di matematica, 2000, 49 (suppl.), pp.79--93 Journal articles hal-01283434v1
	Regular approximation of free-discontinuity problems Guy Bouchitté , C. Dubs , Pierre Seppecher Mathematical Models and Methods in Applied Sciences, 2000, 10 (7), pp.1073--1097. ⟨10.1142/S0218202500000549⟩ Journal articles hal-01283223v1
	BV functions with respect to a measure and relaxation of metric integral functionals Giovanni Bellettini , Guy Bouchitté , Ilaria Fragalà J. Convex Anal., 1999, 6 (2), pp.349--366 Journal articles hal-01283357v1
	The calibration method for the Mumford-Shah functional Giovanni Alberti , Guy Bouchitté , Gianni Dal Maso Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1999, 329 (3), pp.249--254. ⟨10.1016/S0764-4442(00)88602-4⟩ Journal articles hal-01283225v1
	Homogénéisation de problèmes elliptiques dégénérés Michel Bellieud , Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327 (8), pp.787--792. ⟨10.1016/S0764-4442(98)80171-7⟩ Journal articles hal-01283231v1
	Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects Michel Bellieud , Guy Bouchitté Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1998, 26 (3), pp.407--436 Journal articles hal-01283228v1
	Phase transition with the line-tension effect Giovanni Alberti , Guy Bouchitté , Pierre Seppecher Archive for Rational Mechanics and Analysis, 1998, 144 (1), pp.1--46. ⟨10.1007/s002050050111⟩ Journal articles hal-01283230v1
	The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent Guy Bouchitté , Irene Fonseca , Jan Malý Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1998, 128 (3), pp.463--479. ⟨10.1017/S0308210500021600⟩ Journal articles hal-01283227v1
	A global method for relaxation Guy Bouchitté , Irene Fonseca , Luisa Mascarenhas Archive for Rational Mechanics and Analysis, 1998, 145 (1), pp.51--98. ⟨10.1007/s002050050124⟩ Journal articles hal-01283229v1
	Energies with respect to a measure and applications to low-dimensional structures Guy Bouchitté , Giuseppe Buttazzo , Pierre Seppecher Calculus of Variations and Partial Differential Equations, 1997, 5 (1), pp.37--54. ⟨10.1007/s005260050058⟩ Journal articles hal-01283232v1
	Non-Uniform Integrability and Generalized Young Measures Jean-Jacques Alibert , Guy Bouchitté Journal of Convex Analysis, 1997, 4 (1), pp.129-147 Journal articles hal-00993891v1
	Shape optimization solutions via Monge-Kantorovich equation Guy Bouchitté , Giuseppe Buttazzo , Pierre Seppecher Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 324 (10), pp.1185--1191. ⟨10.1016/S0764-4442(97)87909-8⟩ Journal articles hal-01283235v1
	Homogenization of a set of parallel fibres D. Felbacq , Guy Bouchitté Waves in Random Media, 1997, 7 (2), pp.245--256. ⟨10.1088/0959-7174/7/2/006⟩ Journal articles hal-01283233v1
	Mean curvature of a measure and related variational problems Guy Bouchitté , Giuseppe Buttazzo , Ilaria Fragalà Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1997, 25 (1-2), pp.179--196 (1998) Journal articles hal-01283359v1
	Relaxation of bulk and interfacial energies Ana Cristina Barroso , Guy Bouchitté , Giuseppe Buttazzo , Irene Fonseca Archive for Rational Mechanics and Analysis, 1996, 135 (2), pp.107--173. ⟨10.1007/BF02198453⟩ Journal articles hal-01283236v1
	Singular perturbations and homogenization in stratified media Guy Bouchitté , C. Picard Applicable Analysis, 1996, 61 (3-4), pp.307--341. ⟨10.1080/00036819608840462⟩ Journal articles hal-01283239v1
	Transitions de phases avec un potentiel dégénéré à l'infini, application à l'équilibre de petites gouttes Guy Bouchitté , Christophe Dubs , Pierre Seppecher Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 323 (9), pp.1103--1108 Journal articles hal-01283478v1
	Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité Michel Bellieud , Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 323 (10), pp.1135--1140 Journal articles hal-01283438v1
	Relaxation results for some free discontinuity problems Guy Bouchitté , Andrea Braides , Giuseppe Buttazzo Journal für die reine und angewandte Mathematik, 1995, 458, pp.1--18. ⟨10.1515/crll.1995.458.1⟩ Journal articles hal-01283240v1
	Un résultat de perturbations singulieres avec la norm H Giovanni Alberti , Guy Bouchitté , Pierre Seppecher CR Acad. Sci. Paris, Ser. I, 1994, 319, pp.333--338 Journal articles hal-01292609v1
	Un résultat de perturbations singulières avec la norme H^1/2 Giovanni Alberti , Guy Bouchitté , Pierre Seppecher Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1994, 319 (4), pp.333--338 Journal articles hal-01283480v1
	Relaxation for a class of nonconvex functionals defined on measures Guy Bouchitté , Giuseppe Buttazzo Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1993, 10 (3), pp.345--361 Journal articles hal-01283245v1
	Integral representation and relaxation of convex local functionals on \rm BV(Ω) Guy Bouchitté , Gianni Dal Maso Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1993, 20 (4), pp.483--533 Journal articles hal-01283367v1
	Integral representation of nonconvex functionals defined on measures Guy Bouchitté , G. Buttazzo Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1992, 9 (1), pp.101--117 Journal articles hal-01283524v1
	Homogénéisation de frontière pour la modélisation du contact entre un corps déformable non linéaire et un corps rigide Guy Bouchitté , Abdel Lidouh , Pierre Suquet Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1991, 313 (13), pp.967--972 Journal articles hal-01283486v1
	New lower semicontinuity results for nonconvex functionals defined on measures Guy Bouchitté , Giuseppe Buttazzo Nonlinear Analysis: Theory, Methods and Applications, 1990, 15 (7), pp.679--692. ⟨10.1016/0362-546X(90)90007-4⟩ Journal articles hal-01283251v1
	Singular perturbations of variational problems arising from a two-phase transition model Guy Bouchitté Applied Mathematics and Optimization, 1990, 21 (3), pp.289--314. ⟨10.1007/BF01445167⟩ Journal articles hal-01283250v1
	Analyse limite de la diffraction d'ondes électromagnétiques par une structure mince Guy Bouchitté Comptes Rendus de l'Academie des Sciences Serie II, 1990, 311 (1), pp.51--56 Journal articles hal-01283331v1
	Multifonctions s.c.i. et régularisée s.c.i. essentielle Guy Bouchitté , M. Valadier Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1989, 6 (suppl.), pp.123--149 Journal articles hal-01283528v1
	Integral representation of convex functionals on a space of measures Guy Bouchitté , Michel Valadier Journal of Functional Analysis, 1988, 80 (2), pp.398--420. ⟨10.1016/0022-1236(88)90009-2⟩ Journal articles hal-01283257v1
	Formulations variationnelles pour des équations elliptiques semi-linéaires avec second membre mesure Hedy Attouch , Guy Bouchitté , Mongi Mabrouk Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1988, 306 (4), pp.161--164 Journal articles hal-01283413v1
	Conjuguée et sous-différentiel d'une fonctionnelle intégrale sur un espace de Sobolev Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1988, 307 (2), pp.79--82 Journal articles hal-01283258v1
	Représentation intégrale de fonctionnelles convexes sur un espace de mesures. II. Cas de l'épi-convergence Guy Bouchitté Ann. Univ. Ferrara Sez. VII (N.S.), 1987, 33, pp.113--156 (1988) Journal articles hal-01283534v1
	Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité Guy Bouchitté Annales de la Faculté des Sciences de Toulouse. Mathématiques., 1987, 8 (1), pp.7--36 Journal articles hal-01283532v1
	Charges limites, plasticité et homogénéisation: le cas d'un bord chargé Guy Bouchitté , Pierre Suquet Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1987, 305 (10), pp.441--444 Journal articles hal-01283493v1
	Homogénéisation sur \rm BV(Ω) de fonctionnelles intégrales à croissance linéaire. Application à un problème d'analyse limite en plasticité Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1985, 301 (17), pp.785--788 Journal articles hal-01283495v1
	Infconvolution et relaxation-projection dans les espaces de Banach non réflexifs. Approximation de la minimisation d'une fonctionnelle intégrale Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1981, 292 (4), pp.255--258 Journal articles hal-01283340v1
	Approximation numérique de la minimisation d'une fonctionnelle convexe du calcul des variations dans les espaces de type Sobolev-Orlicz Guy Bouchitté Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1981, 292 (5), pp.335--338 Journal articles hal-01283303v1
	Inf-convolution et relaxation-projection dans les banachs non reflexifs, approximation de la minimisation d'une fonctionnelle intégrale ou du calcul des variations Guy Bouchitté Travaux Sém. Anal. Convexe, 1981, 11 (2), exp. no. 20, 42 Journal articles hal-01283341v1
	Approximation interne de problèmes convexes du calcul des variations dans les espaces de type Sobolev-Orlicz: éléments finis et intégration numérique Guy Bouchitté Travaux Sém. Anal. Convexe, 1979, 9 (2), Exp. No. 9, 43 Journal articles hal-01283501v1
	Résolution numérique d'un problème d'optimisation intégro-différentielle dans le cas de lois de comportement exponentiel et logarithmique Guy Bouchitté Travaux Sém. Anal. Convexe, 1979, 9 (2), Exp. No. 11, 28 Journal articles hal-01283500v1
	Approximations de Galerkin de problèmes convexes du calcul des variations dans les espaces de type Sobolev-Orlicz Guy Bouchitté Travaux Sém. Anal. Convexe, 1979, 9 (1), Exp. No. 7, 37 Journal articles hal-01283304v1
	Maximale monotonie et pseudomonotonie renforcées de l'opérateur de Nemicki\uı associé au sous-différentiel d'un intégrande convexe normal Guy Bouchitté Travaux Sém. Anal. Convexe, 1978, 8 (2), exp. no. 8, 27 Journal articles hal-01283307v1

	Homogenization of a highly contrasted bidimensional array of holes Didier Felbacq , Guy Bouchitté , Christophe Bourel , Emmanuel Kling SPIE Optics + Photonics event news, Aug 2016, San Diego, United States. ⟨10.1117/12.2237337⟩ Conference papers hal-01379497v1
	Diffraction by random nanorods structures, Guy Bouchitté AMS-2015, Homogenization and Its Contemporary Stochastic Aspects, Porto, 10-13/6/2015, Jun 2015, Porto, Portugal Conference papers hal-01290882v1
	A duality scheme for a class of non convex problems in calculus of variations Guy Bouchitté Partial differential equations, optimal design and numerics, Benasque 2015, Aug 2015, Bénasque, Spain Conference papers hal-01292726v1
	Optimal design for Schrödinger operator with non compact resolvents Guy Bouchitté Waveguides: asymptotic methods and numerical analysis, Naples, May 21-23, 2015., May 2015, Naples, Italy Conference papers hal-01290884v1
	A new class of costs in optimal transport planning , Guy Bouchitté Calculus of Variations and its aplications, Dec 2015, Lisbonne, Portugal Conference papers hal-01290880v1
	Optimal design on thin domains and existence of optimal shapes Guy Bouchitté Trends in Non-Linear Analysis 2014, Instituto Superior Técnico — Lisboa, Portugal, Jul 2014, Lsbonne, France Conference papers hal-01292738v1
	Do optimal thin rods contain homogenized regions? Guy Bouchitté Journée scientifique à l'occasion du 60ième anniversaire de Pierre Suquet, LMA, Oct 2014, Marseille, France Conference papers hal-01292731v1
	Mathematical issues about Bloch waves in metamaterials Guy Bouchitté Metamaterials and nanophysics, Cuba, 22 April-1 May 2014, Apr 2014, Varadero, Cuba Conference papers hal-01292751v1
	A duality principle for non convex variational problems Guy Bouchitté Calculus of variations and optimization , May 2014, PISE, Italy Conference papers hal-01292745v1
	Multi-scale approach and resonances in metamaterials Guy Bouchitté Mathematical aspects of the physics with non-self-adjoint operators, ICMS, Mar 2013, Edinburgh, United Kingdom Conference papers hal-01294155v1
	Do optimal thin rods contain homogenized regions ? Guy Bouchitté Material Theories, Workshop Oberwolfach, 15 December - 21 December 2013, A. DeSimone, S.Luckhaus, L. Truskinovsky, Dec 2013, Oberwolfach, Germany Conference papers hal-01294151v1
	Diffraction by random dielectric nanorods, Third workshop on thin structures Diffraction by random dielectric nanorods Guy Bouchitté Third workshop on thin structures, Sep 2013, Naples, Italy Conference papers hal-01294152v1
	Thin waveguides with Robin conditions :Influence of twist and curvature, Guy Bouchitté Dissipative Spectral Theory : Operator Theory, PDEs and Numerics), Jan 2013, Cardiff, United Kingdom Conference papers hal-01294156v1
	Bloch Waves expansion for high contrast homogenization Guy Bouchitté SIAM Conference on mathematical aspects of Material Sciernces, Jun 2013, Philadelphie, United States Conference papers hal-01294153v1
	Plasmonic waves and transmission in sub-wavelength regime Guy Bouchitté Advances in Mechanics (APM12) "Exotic Structures" Saint Petersburg , Jul 2012, Saint Petesrburg, France Conference papers hal-01309256v1
	A free boundary problem arising in optimal design of thin torsion rods Guy Bouchitté Shape optimization problems and spectral theory , CIRM-Luminy, May 2012, Marseille, France Conference papers hal-01309264v1
	Curved waveguides with Robin boundary conditions. A 3d-1d asymptotic analysis. Guy Bouchitté Journées guides d'ondes Frumam- Marseille, CPT -FRUMAM, Jan 2012, Marseille, France Conference papers hal-01309270v1
	A free boundary problem arising in optimal design of thin torsion rods Guy Bouchitté VMS - SMF JOINT CONGRESS, Aug 2012, HUE, Vietnam Conference papers hal-01309119v1
	Propagation in thin waveguides: the influence of twist and curvature Variational models and methods for evolution Guy Bouchitté Variational Models and Methods for Evolution, Sep 2012, Levico, Italy Conference papers hal-01309117v1
	Random Dielectric Fibers and Resonances Guy Bouchitté PIERS 2012 , Mar 2012, Kuala Lumpur, Malaysia Conference papers hal-01309265v1
	A nonstandard free boundary problem arising in shape optimization Guy Bouchitté Septièmes Journées Franco-Chiliennes d'Optimisation , Universté de Perpignan, Dec 2011, Perpignan, France Conference papers hal-01309284v1
	Bulk Micro-resonances and Artificial Magnetism. A full 3d-framework Guy Bouchitté , Didier Felbacq , Christophe Bourel PIERS 2011 , Mar 2011, Marrakesh,, Morocco Conference papers hal-01309304v1
	A multi-scale approach for metamaterials Guy Bouchitté Homogenization and Multi Scale Analysis, Institute of Natural Sciences, SJTU Shanghai 200240, P.R. China, Oct 2011, Shanghai, China Conference papers hal-01309292v1
	Exciton binding energies and energy splittings in aluminium nitride bulk and epilayers Bernard Gil , Didier Felbacq , Brahim Guizal , Guy Bouchitté SPIE PHOTONICS West Gallium Nitride Materials and Devices VI SPIE 7939, Jan 2011, San francisco, France Conference papers hal-00633667v1
	Diffraction by random dielectric structures. Guy Bouchitté Partial differential equations, optimal design and numerics, Centro de Ciencias de Benasque Pedro Pascual, Bénasque, Espagne Aug 2011, Benasque, Spain Conference papers hal-01309297v1
	Homogénéisation du système de Maxwell 3D près des résonances et magnétisme artificiel Guy Bouchitté , D. Felbacq , Christophe Bourel Colloque National Métamatériaux 2011, Institut d'Électronique Fondamentale Triangle de la Physique, Orsay Apr 2011, Orsay, France Conference papers hal-01309309v1
	Excitonic Splittings in aluminum nitride Bernard Gil , D. Felbacq , B. Guizal , Guy Bouchitté Proceedings of the second Meijo international symposium on nitride semiconductors 2010 (MSN2010), Nov 2010, Nagoya, Japan Conference papers hal-00633651v1
	RESONANT HOMOGENIZATION OF A DIELECTRIC METAMATERIAL Didier Felbacq , Brahim Guizal , Guy Bouchitté , Christophe Bourel 4th Workshop on Metamaterials and Special Materials for Electromagnetic Application and TLC, Dec 2008, Naples, Italy. pp.2695-2701 Conference papers hal-00437968v1
	Effective magnetic activity in an array of dielectric rods Didier Felbacq , Guy Bouchitté COST kick-off workshop on Nanophotonics, Apr 2008, Varsovie, Poland Conference papers hal-00807722v1
	Onset of a band structure as a result of Mie resonances Didier Felbacq , Brahim Guizal , Guy Bouchitté Nanophotonics 2008, May 2008, Nanjing, China Conference papers hal-00807764v1
	Effective properties of membrane photonic crystals - art. no. 70410R Didier Felbacq , Brahim Guizal , Guy Bouchitté Conference on Nanostructured Thin Films, Aug 2008, San Diego (CA), United States. pp.R410-R410 Conference papers hal-00437972v1
	Theory of negative index in periodic and random photonic crystals - art. no. 61950I Didier Felbacq , Guy Bouchitté Conference on Nanophotonics, Apr 2006, Strasbourg (FRANCE), France. pp.I1950-I1950 Conference papers hal-00437976v1
	Optimization of light structures: the vanishing mass conjecture Guy Bouchitté Homogenization and Multiple Scales (HMS2000), Luciano Carbone and Riccardo De Arcangelis., Jun 2001, Naples, Italy. pp.131--145 Conference papers hal-01283428v1

	Metamaterials modelling and design Guy Bouchitté , Didier Felbacq CRC Press. PAN Stanford, 2017, ISBN 9789814316125 Books hal-01823696v1

	Variational theory of weak geometric structures: the measure method and its applications Guy Bouchitté , Ilaria Fragalà Variational methods for discontinuous structures, 51, Birkhäuser, Basel, pp.19--40, 2002, Progr. Nonlinear Differential Equations Appl Book sections hal-01283431v1
	Low frequency scattering by a set of parallel metallic rods Guy Bouchitté , Didier Felbacq Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), SIAM, Philadelphia, PA, pp.226--230, 2000 Book sections hal-01283355v1
	Boundary effects in phase transitions Giovanni Alberti , Guy Bouchitté , Pierre Seppecher Curvature flows and related topics (Levico, 1994), 5, Gakkōtosho, Tokyo, pp.1--11, 1995, GAKUTO Internat. Ser. Math. Sci. Appl Book sections hal-01283241v1
	Equi-coercivity of variational problems: the role of recession functions Guy Bouchitté , P. Suquet Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XII (Paris, 1991―1993), 302, Longman Sci. Tech., Harlow, pp.31--54, 1994, Pitman Res. Notes Math. Ser Book sections hal-01283521v1
	Cahn and Hilliard fluid on an oscillating boundary Guy Bouchitté , Pierre Seppecher Motion by mean curvature and related topics (Trento, 1992), de Gruyter, Berlin, pp.23--42, 1994 Book sections hal-01283442v1
	Homogenization, plasticity and yield design Guy Bouchitté , P. Suquet Composite media and homogenization theory (Trieste, 1990), 5, Birkhäuser Boston, Boston, MA, pp.107--133, 1991, Progr. Nonlinear Differential Equations Appl., ⟨10.1007/978-1-4684-6787-1_7⟩ Book sections hal-01283248v1
	Multifonctions s.c.i. et régularisée s.c.i. essentielle Guy Bouchitté , M. Valadier Analyse non linéaire (Perpignan, 1987), Univ. Montréal, Montreal, QC, pp.122--149, 1989 Book sections hal-01283529v1
	Variational formulations of semi-linear elliptic equations involving measures H. Attouch , Guy Bouchitté , H. Mabrouk Nonlinear variational problems, Vol. II (Isola d'Elba, 1986), 193, Longman Sci. Tech., Harlow, pp.10--63, 1989, Pitman Res. Notes Math. Ser Book sections hal-01283527v1

	Mean field theory for a general class of short-range interaction functionals Guy Bouchitté , Rajesh Mahadevan 2023 Preprints, Working Papers, ... hal-04257842v1
	Relaxed many-body optimal transport and related asymptotics Ugo Bindini , Guy Bouchitté 2022 Preprints, Working Papers, ... hal-03814479v1
	Relaxed multi-marginal costs and quantization effects Guy Bouchitté , Giuseppe Buttazzo , Thierry Champion , Luigi de Pascale 2019 Preprints, Working Papers, ... hal-02352469v1
	Dissociating limit in Density Functional Theory with Coulomb optimal transport cost. Guy Bouchitté , Thierry Champion , Giuseppe Buttazzo , Luigi de Pascale 2018 Preprints, Working Papers, ... hal-01941414v1
	A new class of cost for optimal transport planning Jean-Jacques Alibert , Guy Bouchitté , Thierry Champion 2018 Preprints, Working Papers, ... hal-01741688v1
	Structural optimization of thin elastic plates: the three dimensional approach Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher 2010 Preprints, Working Papers, ... hal-00528976v1
	Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency Graeme W. Milton , Pierre Seppecher , Guy Bouchitté 2010 Preprints, Working Papers, ... hal-00523225v1

Guy Bouchitte

Publications

Relaxed many-body optimal transport and related asymptotics

Optimal design versus maximal Monge-Kantorovich metrics

Dissociating limit in Density Functional Theory with Coulomb optimal transport cost.

Relaxed multi-marginal costs and quantization effects

A new class of cost for optimal transport planning

On the forces that cable webs under tension can support and how to design cable webs to channel stresses

ON A DEGENERATE PROBLEM IN THE CALCULUS OF VARIATIONS

A duality recipe for non-convex variational problems

A Duality Theory for Non-convex Problems in the Calculus of Variations

Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source

Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials

Optimal design problems for Schrödinger operators with noncompact resolvents

A Variational Method for Second Order Shape Derivatives

Resonant effects in random dielectric structures

Duality for non-convex variational problems

Shape derivatives for minima of integral functionals

A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings

Multiscale nanorod metamaterials and realizable permittivity tensors

Thin waveguides with Robin boundary conditions

Optimal thin torsion rods and Cheeger sets

Excitonic states and their wave functions in anisotropic materials: a computation using the finite element method and its application to AlN

Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach

Quantitative interpretation of the excitonic splittings in aluminum nitride

Quantitative interpretation of the excitonic splitting in aluminum nitride

Homogenization of nonlocal wire metamaterial via a renormalization approach

Homogenization of nonlocal wire metamaterial via a renormalization approach

Asymptotic analysis of a class of optimal location problems

Homogenization of Dielectric Photonic Quasi Crystals

Homogenization of Maxwell's equations in a split ring geometry

The Monge-Kantorovich problem for distributions and applications

Cloaking of small objects by anomalous localized resonance

The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions

The Cosserat vector in membrane theory: a variational approach

Effective properties of membrane photonic crystals

A complete-damage problem at small strains

Homogenization of the 3D Maxwell system near resonances and artificial magnetism

A general class of phase transition models with weighted interface energy

Pure currents in foliated waveguides

Two-scale approach to the homogenization of membrane photonic crystals

Michell Trusses and Lines of Principal Action

A new L^∞ estimate in optimal mass transport

Optimal design of thin plates by a dimension reduction for linear constrained problems

Optimality conditions for mass design problems and applications to thin plates

3D-2D analysis for the optimal elastic compliance problem

On the curvature and torsion effects in one dimensional waveguides

Homogenization of a wire photonic crystal: The case of small volume fraction

Bloch vector dependence of the plasma frequency in metallic photonic crystals

Do Fresnel coefficients exist ?

Left-handed media and homogenization of photonic crystals

Negative refraction in periodic and random photonic crystals

Theory of mesoscopic magnetism in photonic crystals

Rate of convergence for correctors in almost periodic homogenization

Completion of the space of measures in the Kantorovich norm

Homogenization near resonances and artificial magnetism from dielectrics

Homogenization of second order energies on periodic thin structures

Second-order energies on thin structures: variational theory and non-local effects

A p-Laplacian approximation for some mass optimization problems

The calibration method for the Mumford-Shah functional and free-discontinuity problems

Bending moment in membrane theory

A global method for relaxation in W^1,p and in \rm SBVₚ

Homogenization of elastic thin structures: a measure-fattening approach

Asymptotique d'un problème de positionnement optimal

Bounds for the effective coefficients and homogenized low-dimensional structures

Optimal design of stratified media

Characterization of optimal shapes and masses through Monge-Kantorovich equation

Homogenization of thin structures by two-scale method with respect to measures

Convergence of Sobolev spaces on varying manifolds

Regularization of a set function―-application to integral representation

Regular approximation of free-discontinuity problems

BV functions with respect to a measure and relaxation of metric integral functionals

The calibration method for the Mumford-Shah functional

Homogénéisation de problèmes elliptiques dégénérés

Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects

Phase transition with the line-tension effect

The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent

A global method for relaxation

Energies with respect to a measure and applications to low-dimensional structures