Guy Bouchitte

163
Documents

Publications

Publications

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KANTOROVICH-RUBINSTEIN DUALITY THEORY FOR THE HESSIAN

Karol Bołbotowski , Guy Bouchitté
2024
Preprints, Working Papers, ... hal-04818344 v2
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A CONVEX RELAXATION METHOD FOR FREE BOUNDARY PROBLEMS

Guy Bouchitté , Minh Phan
2024
Preprints, Working Papers, ... hal-04820298 v1
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Mean field theory for a general class of short-range interaction functionals

Guy Bouchitté , Rajesh Mahadevan
2023
Preprints, Working Papers, ... hal-04257842 v1

Relaxed many-body optimal transport and related asymptotics

Ugo Bindini , Guy Bouchitté
2022
Preprints, Working Papers, ... hal-03814479 v1
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Relaxed multi-marginal costs and quantization effects

Guy Bouchitté , Giuseppe Buttazzo , Thierry Champion , Luigi de Pascale
2019
Preprints, Working Papers, ... hal-02352469 v1
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A new class of cost for optimal transport planning

Jean-Jacques Alibert , Guy Bouchitté , Thierry Champion
2018
Preprints, Working Papers, ... hal-01741688 v1

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-01941414 v1
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Structural optimization of thin elastic plates: the three dimensional approach

Guy Bouchitté , Ilaria Fragalà , Pierre Seppecher
2010
Preprints, Working Papers, ... hal-00528976 v1
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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-00523225 v1

ASYMPTOTIC THEORY FOR A GENERAL CLASS OF SHORT-RANGE INTERACTION FUNCTIONALS

Guy Bouchitté , Rajesh Mahadevan
SIAM Journal on Mathematical Analysis, 2024, 56 (6), pp.7170-7193. ⟨10.1137/23M1623306⟩
Journal articles hal-04763273 v1

Relaxed many-body optimal transport and related asymptotics

Ugo Bindini , Guy Bouchitté
Advances in Calculus of Variation, In press, ⟨10.1515/acv-2022-0085⟩
Journal articles hal-04264277 v1
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Optimal design versus maximal Monge-Kantorovich metrics

Karol Bołbotowski , Guy Bouchitté
Archive for Rational Mechanics and Analysis, In press, ⟨10.1007/s00205-021-01728-2⟩
Journal articles hal-03208669 v1

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-03353571 v1
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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-02953331 v1

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-03353658 v1
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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-02188481 v1
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ON A DEGENERATE PROBLEM IN THE CALCULUS OF VARIATIONS

Guy Bouchitté , Pierre Bousquet
Transactions of the American Mathematical Society, 2019, 371 (2), pp.777-807. ⟨10.1090/tran/7570⟩
Journal articles hal-01405468 v2
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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-01803520 v1

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-01804593 v1
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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-01240316 v1

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-01635229 v1

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-01312614 v1

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-01312617 v1

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-01283184 v1

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-01283185 v1
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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-01127679 v1

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-01283186 v1

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-00993897 v1

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-01283187 v1

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 istex hal-00686782 v1

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-01283189 v1

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-01283188 v1

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-01283190 v1

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-01281122 v1

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-01294103 v1

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-00808333 v1
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Quantitative interpretation of the excitonic splittings in aluminum nitride

Bernard Gil , Brahim Guizal , Didier Felbacq , Guy Bouchitté
European Physical Journal: Applied Physics, 2011, 53 (2), pp.20303. ⟨10.1051/epjap/2010100448⟩
Journal articles hal-00663998 v1

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-00633617 v1

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-01283193 v1

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-01283191 v1

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-00544537 v1

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-01283194 v1

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-01283192 v1

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 istex hal-01283195 v1

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-01283196 v1

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-00385882 v1

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-00385872 v1

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-00439076 v1

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-01283197 v1
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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-00255910 v1
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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-00528973 v1

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-01283200 v1

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 istex hal-01283202 v1

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 istex hal-01283198 v1

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-01283201 v1

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-01283199 v1

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-00437973 v1

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-00437974 v1

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-01283427 v1

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-01283203 v1

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-00385815 v1

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-00437977 v1

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-00437978 v1

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-00437979 v1

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 istex hal-01283205 v1

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 istex hal-01283206 v1

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-01283208 v1

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-01283211 v1

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 istex hal-01283209 v1

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 istex hal-01283207 v1

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-01283218 v1

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-01283276 v1

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-01283390 v1

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 istex hal-01283213 v1

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-01283214 v1

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 istex hal-01283221 v1

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-01283219 v1

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-01283220 v1

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-01283434 v1

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-01283223 v1

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 istex hal-01283225 v1

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-01283357 v1

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 istex hal-01283227 v1

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 istex hal-01283229 v1

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-01283228 v1

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 istex hal-01283230 v1

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 istex hal-01283231 v1

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 istex hal-01283232 v1

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-01283359 v1

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-01283233 v1

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-00993891 v1

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 istex hal-01283235 v1

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 istex hal-01283236 v1

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-01283239 v1

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-01283438 v1

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-01283478 v1

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 istex hal-01283240 v1

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-01283480 v1

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-01292609 v1

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-01283367 v1

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-01283245 v1

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-01283524 v1

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-01283486 v1
Image document

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-01283331 v1

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 istex hal-01283250 v1

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 istex hal-01283251 v1

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-01283528 v1

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-01283257 v1

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-01283258 v1

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-01283413 v1

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-01283493 v1

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-01283534 v1

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-01283532 v1

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-01283495 v1

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-01283341 v1

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-01283340 v1

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-01283303 v1

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-01283304 v1

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-01283500 v1

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-01283501 v1

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-01283307 v1

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-01379497 v1

A new class of costs in optimal transport planning ,

Guy Bouchitté
Calculus of Variations and its aplications, Dec 2015, Lisbonne, Portugal
Conference papers hal-01290880 v1

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-01292726 v1

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-01290882 v1

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-01290884 v1

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-01292731 v1

A duality principle for non convex variational problems

Guy Bouchitté
Calculus of variations and optimization , May 2014, PISE, Italy
Conference papers hal-01292745 v1

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-01292751 v1

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-01292738 v1

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-01294153 v1

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-01294152 v1

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-01294156 v1

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-01294151 v1

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-01294155 v1

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-01309119 v1

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-01309117 v1

Random Dielectric Fibers and Resonances

Guy Bouchitté
PIERS 2012 , Mar 2012, Kuala Lumpur, Malaysia
Conference papers hal-01309265 v1

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-01309256 v1

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-01309264 v1

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-01309270 v1

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-00633667 v1

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-01309309 v1

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-01309284 v1

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-01309297 v1

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-01309292 v1

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-01309304 v1

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-00633651 v1

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-00437968 v1

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-00807722 v1

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-00807764 v1

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-00437972 v1

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-00437976 v1
Image document

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-01283428 v1

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-01283431 v1

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-01283355 v1

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-01283241 v1

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-01283442 v1

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-01283521 v1

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 istex hal-01283248 v1

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-01283527 v1

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-01283529 v1