Jean Dolbeault

138

Documents

Researcher identifiers

dolbeaul
ResearcherId : O-2328-2017
0000-0003-4234-2298
IdRef : 120112507
ResearcherId : http://www.researcherid.com/rid/O-2328-2017
Arxiv : dolbeault_j_1
Google Scholar : https://scholar.google.fr/citations?user=ky2LFVsAAAAJ

Contact

Research domains

Analysis of PDEs [math.AP]

Publications

	On Gaussian interpolation inequalities Giovanni Brigati , Jean Dolbeault , Nikita Simonov Comptes Rendus. Mathématique, In press, ⟨10.5802/crmath.488⟩ Journal articles hal-03978122v2
	Parabolic methods for ultraspherical interpolation inequalities Jean Dolbeault , An Zhang Discrete and Continuous Dynamical Systems - Series A, 2023, 43 (3&4), pp.1347-1365. ⟨10.3934/dcds.2022080⟩ Journal articles hal-03573888v1
	Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators Jean Dolbeault , Maria J Esteban , Éric Séré Journal of Spectral Theory, 2023, 13 (2), pp.491-524. ⟨10.4171/JST/461⟩ Journal articles hal-03702964v4
	Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators Jean Dolbeault , David Gontier , Fabio Pizzichillo , Hanne Van Den Bosch Revista Matemática Iberoamericana, In press, ⟨10.4171/RMI/1443⟩ Journal articles hal-03803758v2
	Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results Giovanni Brigati , Jean Dolbeault , Nikita Simonov Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2023, ⟨10.4171/AIHPC/106⟩ Journal articles hal-03868496v4
	Special macroscopic modes and hypocoercivity Kleber Carrapatoso , Jean Dolbeault , Frédéric Hérau , Stéphane Mischler , Clément Mouhot Journal of the European Mathematical Society, inPress Journal articles hal-03222748v5
	Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov Discrete and Continuous Dynamical Systems - Series A, inPress, 43 (3&4), pp.1070-1089. ⟨10.3934/dcds.2022093⟩ Journal articles hal-03581542v2
	Fractional hypocoercivity Emeric Bouin , Jean Dolbeault , Laurent Lafleche Communications in Mathematical Physics, 2022, 390 (3), pp.1369-1411. ⟨10.1007/s00220-021-04296-4⟩ Journal articles hal-02377205v2
	Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system Jean Dolbeault , Rupert L. Frank , Louis Jeanjean Comptes Rendus. Mathématique, 2022, 359 (10), pp.1279-1293. ⟨10.5802/crmath.272⟩ Journal articles hal-03276199v2
	Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators Kleber Carrapatoso , Jean Dolbeault , Frédéric Hérau , Stéphane Mischler , Clément Mouhot Archive for Rational Mechanics and Analysis, 2022, 343 (3), pp.1565-1596. ⟨10.1007/s00205-021-01741-5⟩ Journal articles hal-03059166v1
	Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model Jean Dolbeault , Gabriel Turinici Computational and Mathematical Biophysics, 2021, 9, pp.14-21. ⟨10.1515/cmb-2020-0115⟩ Journal articles hal-02614585v1
	L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system Lanoir Addala , Jean Dolbeault , Xingyu Li , M Lazhar Tayeb Journal of Statistical Physics, 2021, 184 (1), pp.4. ⟨10.1007/s10955-021-02784-4⟩ Journal articles hal-02299535v4
	Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3 Denis Bonheure , Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Reviews in Mathematical Physics, 2021, 33 (3), pp.2150006-1-2150006-29. ⟨10.1142/S0129055X21500069⟩ Journal articles hal-02021174v3
	Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results Jean Dolbeault Milan Journal of Mathematics, 2021, 89, pp.355-386. ⟨10.1007/s00032-021-00341-y⟩ Journal articles hal-03289546v2
	Interpolation inequalities in W1,p(S1) and carré du champ methods Jean Dolbeault , Marta Garcia-Huidobro , Raul Manásevich Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (1), pp.375-394. ⟨10.3934/dcds.2020014⟩ Journal articles hal-02003141v2
	Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model Jean Dolbeault , Gabriel Turinici Mathematical Modelling of Natural Phenomena, 2020, Coronavirus: Scientific insights and societal aspects, 15 (36), pp.1-18. ⟨10.1051/mmnp/2020025⟩ Journal articles hal-02559938v2
	Hypocoercivity without confinement Emeric Bouin , Jean Dolbeault , Stéphane Mischler , Clément Mouhot , Christian Schmeiser Pure and Applied Analysis, 2020, 2 (2), pp.203-232. ⟨10.2140/paa.2020.2.203⟩ Journal articles hal-01575501v4
	Hypocoercivity and sub-exponential local equilibria Emeric Bouin , Jean Dolbeault , Laurent Lafleche , Christian Schmeiser Monatshefte für Mathematik, 2020, 194, pp.41-65. ⟨10.1007/s00605-020-01483-8⟩ Journal articles hal-02377195v2
	Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields Denis Bonheure , Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Communications in Mathematical Physics, 2020, 375 (3), pp.2071-2087. ⟨10.1007/s00220-019-03560-y⟩ Journal articles hal-02003872v2
	Diffusion and kinetic transport with very weak confinement Emeric Bouin , Jean Dolbeault , Christian Schmeiser Kinetic and Related Models , 2020, 13 (2), pp.345-371. ⟨10.3934/krm.2020012⟩ Journal articles hal-01991665v1
	Improved interpolation inequalities and stability Jean Dolbeault , Maria J. Esteban Advanced Nonlinear Studies, 2020, 20 (2), pp.277-291. ⟨10.1515/ans-2020-2080⟩ Journal articles hal-02266625v1
	A variational proof of Nash's inequality Emeric Bouin , Jean Dolbeault , Christian Schmeiser Rendiconti Lincei. Matematica e Applicazioni, In press, 31, pp.211-223. ⟨10.4171/RLM/886⟩ Journal articles hal-01940110v1
	Generalized logarithmic Hardy-Littlewood-Sobolev inequality Jean Dolbeault , Xingyu Li International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnz324⟩ Journal articles hal-02281279v3
	Reverse Hardy-Littlewood-Sobolev inequalities José A. Carrillo , Matías G Delgadino , Jean Dolbeault , Rupert L Frank , Franca Hoffmann Journal de Mathématiques Pures et Appliquées, 2019, 132, pp.133-165. ⟨10.1016/j.matpur.2019.09.001⟩ Journal articles hal-01837888v3
	Phi-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations Jean Dolbeault , Xingyu Li Mathematical Models and Methods in Applied Sciences, 2018, 28 (13), pp.2637-2666. ⟨10.1142/S0218202518500574⟩ Journal articles hal-01672455v2
	Une cartographie de la communauté mathématique française Maxime Chupin , Jean Dolbeault , Maria J. Esteban , Mathieu Lewin Gazette des Mathématiciens, 2018, 156, pp.49-61 Journal articles hal-01705526v1
	Interpolation inequalities and spectral estimates for magnetic operators Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Annales Henri Poincaré. A Journal of Theoretical and Mathematical Physics, 2018, 19 (5), pp.1439-1463. ⟨10.1007/s00023-018-0663-9⟩ Journal articles hal-01534961v2
	Magnetic rings Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Journal of Mathematical Physics, 2018, 59 (5), pp.051504. ⟨10.1063/1.5022121⟩ Journal articles hal-01680917v2
	Weighted interpolation inequalities: a perturbation approach Jean Dolbeault , Matteo Muratori , Bruno Nazaret Mathematische Annalen, 2017, ⟨10.1007/s00208-016-1480-4⟩ Journal articles hal-01207009v3
	Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates Jean Dolbeault , Michal Kowalczyk Annales de la Faculté des Sciences de Toulouse. Mathématiques., inPress, 26 (4), pp.949-977. ⟨10.5802/afst.1557⟩ Journal articles hal-01092572v3
	Interpolation inequalities on the sphere: linear vs. nonlinear flows Jean Dolbeault , Maria J. Esteban , Michael Loss Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2017, 26 (2), pp.351-379 Journal articles hal-01206975v2
	Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault , Maria J. Esteban , Michael Loss , Matteo Muratori Comptes Rendus. Mathématique, 2017, 355 (2), pp.133-154 Journal articles hal-01318727v1
	Onofri inequalities and rigidity results Jean Dolbeault , Maria J. Esteban , Gaspard Jankowiak Discrete and Continuous Dynamical Systems - Series A, 2017, 37 (6), pp.3059-3078 Journal articles hal-00985211v2
	Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods Matteo Bonforte , Jean Dolbeault , Matteo Muratori , Bruno Nazaret Kinetic and Related Models , 2017, 10 (1), pp.61-91 Journal articles hal-01279327v2
	Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities Matteo Bonforte , Jean Dolbeault , Matteo Muratori , Bruno Nazaret Kinetic and Related Models , 2017, 10 (1), pp. 33-59 Journal articles hal-01279326v2
	Flows and functional inequalities for fractional operators Jean Dolbeault , An Zhang Applicable Analysis, 2017, 96 (9), pp.1547-1560 Journal articles hal-01404580v1
	Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization Jean Dolbeault , Maria J. Esteban , Michael Loss Journal of Elliptic and Parabolic Equations, 2016, 2, pp.267-295 Journal articles hal-01395771v1
	Optimal functional inequalities for fractional operators on the sphere and applications Jean Dolbeault , An Zhang Advanced Nonlinear Studies, 2016, 16 (4), pp.863-880 Journal articles hal-01358059v2
	Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces Jean Dolbeault , Maria J. Esteban , Michael Loss Inventiones Mathematicae, 2016, 206 (2), pp.397-440 Journal articles hal-01162902v2
	Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays Jean Dolbeault , Giuseppe Toscani Nonlinear Analysis: Theory, Methods and Applications, 2016, 138, pp.31-43 Journal articles hal-01103574v1
	Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics Jean Dolbeault , Robert Stanczy Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (1), pp.139-154 Journal articles hal-00859375v2
	Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability Jean Dolbeault , Peter Markowich , Gaspard Jankowiak Mathematics and Mechanics of Complex Systems, 2015, 3 (3), pp.211-241 Journal articles hal-00821206v2
	Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities Jean Dolbeault , Giuseppe Toscani International Mathematics Research Notices, 2015, 2016 (2), pp.473-498 Journal articles hal-01081098v2
	Hypocoercivity for linear kinetic equations conserving mass Jean Dolbeault , Clément Mouhot , Christian Schmeiser Transactions of the American Mathematical Society, 2015, 367, pp.3807-3828. ⟨10.1090/S0002-9947-2015-06012-7⟩ Journal articles hal-00482286v1
	Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities Jean Dolbeault , Maria J. Esteban , Stathis Filippas , Achiles Tertikas Calculus of Variations and Partial Differential Equations, 2015, pp.10.1007/s00526-015-0871-9 Journal articles hal-01089318v1
	Best matching Barenblatt profiles are delayed Jean Dolbeault , Giuseppe Toscani Journal of Physics A General Physics (1968-1972), 2015, 48 (6), pp.065206, 14 Journal articles hal-01058838v2
	The Moser-Trudinger-Onofri inequality Jean Dolbeault , Maria J. Esteban , Gaspard Jankowiak Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.777-802 Journal articles hal-00961363v3
	Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders Jean Dolbeault , Maria J. Esteban , Michael Loss Comptes Rendus. Mathématique, 2015, 353 (9), pp.813-818 Journal articles hal-01137403v2
	Nonlinear flows and rigidity results on compact manifolds Jean Dolbeault , Maria J. Esteban , Michael Loss Journal of Functional Analysis, 2014, 267 (5), pp.1338-1363 Journal articles hal-00784887v2
	One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Journal of the London Mathematical Society, 2014, 90 (2), pp.525-550 Journal articles hal-00857955v2
	Improved interpolation inequalities on the sphere Jean Dolbeault , Maria J. Esteban , Michal Kowalczyk , Michael Loss Discrete and Continuous Dynamical Systems - Series S, 2014, 7 (4), pp.695-724 Journal articles hal-00867909v2
	Spectral estimates on the sphere Jean Dolbeault , Maria J. Esteban , Ari Laptev Analysis & PDE, 2014, 7 (2), pp.435-460 Journal articles hal-00770755v2
	Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane Juan Campos Serrano , Jean Dolbeault Communications in Partial Differential Equations, 2014, 39 (5), pp.806-841 Journal articles hal-00706194v2
	Sobolev and Hardy-Littlewood-Sobolev inequalities Jean Dolbeault , Gaspard Jankowiak Journal of Differential Equations, 2014, 257 (6), pp.1689-1720 Journal articles hal-00915998v3
	Existence of sign changing solutions for an equation with a weighted p-Laplace operator Carmen Cortázar , Jean Dolbeault , Marta Garcia-Huidobro , Raul Manásevich Nonlinear Analysis: Theory, Methods and Applications, 2014, 110, pp.1-22 Journal articles hal-00985507v2
	Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations Jean Dolbeault , Maria J. Esteban Nonlinearity, 2014, 27, p. 435-465 Journal articles hal-00812996v2
	The Euclidean Onofri inequality in higher dimensions Manuel del Pino , Jean Dolbeault International Mathematics Research Notices, 2013, 15, pp.3600-3611 Journal articles hal-00658665v1
	A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault , Maria J. Esteban Journal of Numerical Mathematics, 2013, 30 (3-4), pp.233-249 Journal articles hal-00695542v1
	Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator Jean Dolbeault , Marta Garcia-Huidobro , Raul Manásevich Avanced Nonlinear Studies, 2013 Journal articles hal-00727573v1
	Sharp interpolation inequalities on the sphere : new methods and consequences Jean Dolbeault , Maria J. Esteban , Michal Kowalczyk , Michael Loss Chinese Annals of Mathematics - Series B, 2013, 34 (1), pp.99-112. ⟨10.1007/s11401-012-0756-6⟩ Journal articles hal-00739140v1
	Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351 (11-12), pp.437-440 Journal articles hal-00799252v2
	Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle Isabelle Catto , Jean Dolbeault , Óscar Sánchez , Juan Soler Mathematical Models and Methods in Applied Sciences, 2013, 23 (10), pp.1915-1938 Journal articles hal-00834551v1
	Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes Jean Dolbeault , Axel Klar , Clément Mouhot , Christian Schmeiser Applied Mathematics Research eXpress, 2013, 2013, pp.165-175. ⟨10.1093/amrx/abs015⟩ Journal articles hal-00658343v1
	Improved interpolation inequalities, relative entropy and fast diffusion equations Jean Dolbeault , Giuseppe Toscani Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2013, 30 (5), pp.917-934 Journal articles hal-00634852v2
	Improved Poincaré inequalities Jean Dolbeault , Bruno Volzone Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (16), pp.5985 - 6001 Journal articles hal-00638281v1
	Symmetry of extremals of functional inequalities via spectral estimates for linear operators Jean Dolbeault , Maria J. Esteban , Michael Loss Journal of Mathematical Physics, 2012, 53(P), pp.095204 Journal articles hal-00626739v2
	Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities Jean Dolbeault , Maria J. Esteban Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2012, 142A, pp.745-767 Journal articles hal-00496936v2
	A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities Jean Dolbeault , Juan Campos Serrano Comptes Rendus. Mathématique, 2012, 350 (21-22), pp.949-954 Journal articles hal-00706249v2
	From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré SIAM Journal on Mathematical Analysis, 2012, 44 (5), pp.3186-3216 Journal articles hal-00595042v1
	Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion Jean Dolbeault Math. Res. Lett., 2011, 18 (6), pp.1037-1050 Journal articles hal-00573943v1
	Thermal effects in gravitational Hartree systems Gonca Aki , Jean Dolbeault , Christof Sparber Annales Henri Poincaré, 2011, 12, pp.1055-1079 Journal articles hal-00512641v1
	Fast diffusion equations: matching large time asymptotics by relative entropy methods Jean Dolbeault , Giuseppe Toscani Kinetic and Related Models , 2011, 4 (3), pp.701-716 Journal articles hal-00482898v2
	Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis Piotr Biler , Lucilla Corrias , Jean Dolbeault Journal of Mathematical Biology, 2011, 63, pp.1-32. ⟨10.1007/s00285-010-0357-5⟩ Journal articles hal-00411913v1
	Radial symmetry and symmetry breaking for some interpolation inequalities Jean Dolbeault , Maria J. Esteban , Gabriella Tarantello , Achiles Tertikas Calculus of Variations and Partial Differential Equations, 2011, 42, pp.461-485 Journal articles hal-00516710v1
	Improved intermediate asymptotics for the heat equation Jean-Philippe Bartier , Adrien Blanchet , Jean Dolbeault , Miguel Escobedo Applied Mathematics Letters, 2011, 24 (1), pp.76 - 81. ⟨10.1016/j.aml.2010.08.020⟩ Journal articles hal-00409935v1
	Relative equilibria in continuous stellar dynamics Juan Campos Serrano , Manuel del Pino , Jean Dolbeault Communications in Mathematical Physics, 2010, 300, pp.765-788. ⟨10.1007/s00220-010-1128-2⟩ Journal articles hal-00450754v1
	A logarithmic Hardy inequality Manuel del Pino , Jean Dolbeault , Stathis Filippas , Achiles Tertikas Journal of Functional Analysis, 2010, 259 (8), pp.2045-2072. ⟨10.1016/j.jfa.2010.06.005⟩ Journal articles hal-00438199v1
	Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities Matteo Bonforte , Jean Dolbeault , Gabriele Grillo , Juan-Luis Vázquez Proceedings of the National Academy of Sciences of the United States of America, 2010, 107 (38), pp.16459-16464. ⟨10.1073/pnas.1003972107⟩ Journal articles hal-00404718v1
	Non-existence and uniqueness results for supercritical semilinear elliptic equations Jean Dolbeault , Robert Stanczy Annales Henri Poincaré, 2009, 10 (7), pp.1311-1333 Journal articles hal-00349574v2
	The two-dimensional Keller-Segel model after blow-up Jean Dolbeault , Christian Schmeiser Discrete and Continuous Dynamical Systems - Series B, 2009, 25, pp.109-121 Journal articles hal-00158767v1
	Orbitally stable states in generalized Hartree-Fock theory Jean Dolbeault , Patricio Felmer , Mathieu Lewin Mathematical Models and Methods in Applied Sciences, 2009, 19 (3), pp.347-367 Journal articles hal-00250383v1
	Multiplicity results for the assigned Gauss curvature problem in R2 Jean Dolbeault , Maria J. Esteban , Gabriella Tarantello Nonlinear Analysis: Theory, Methods and Applications, 2009, 70 (8), pp.2870-2881 Journal articles hal-00323700v1
	Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions Rafael Benguria , Jean Dolbeault , Régis Monneau Journal of Statistical Physics, 2009, 134, pp.27-51 Journal articles hal-00267954v1
	Asymptotics of the fast diffusion equation via entropy estimates Adrien Blanchet , Matteo Bonforte , Jean Dolbeault , Gabriele Grillo , Juan-Luis Vázquez Archive for Rational Mechanics and Analysis, 2009, 191, pp.347-385 Journal articles hal-00142404v1
	Stochastic Stokes' drift, homogenized functional inequalities, and large time behavior of Brownian ratchets Adrien Blanchet , Jean Dolbeault , Michal Kowalczyk SIAM Journal on Mathematical Analysis, 2009, 41, pp.46-76 Journal articles hal-00270521v1
	A new class of transport distances between measures Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré Calc. Var. Partial Differential Equations, 2009, 34 (2), pp.193-231 Journal articles hal-00262455v1
	Hypocoercivity for kinetic equations with linear relaxation terms Jean Dolbeault , Clément Mouhot , Christian Schmeiser Comptes Rendus. Mathématique, 2009, 347 (9-10), pp.511-516 Journal articles hal-00331947v2
	On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault , Maria J. Esteban , Michael Loss , Gabriella Tarantello Advanced Nonlinear Studies, 2009, 9, pp.713-727 Journal articles hal-00402961v2
	On the Bakry-Emery criterion for linear diffusions and weighted porous media equations Jean Dolbeault , Bruno Nazaret , Giuseppe Savaré Communications in Mathematical Sciences, 2008, 6, pp.477-494 Journal articles hal-00196935v1
	Characterization of the critical magnetic field in the Dirac-Coulomb equation Jean Dolbeault , Maria J. Esteban , Michael Loss Journal of Physics A General Physics (1968-1972), 2008, 41, pp.185303 Journal articles hal-00201095v1
	Compactness properties for trace-class operators and applications to quantum mechanics Jean Dolbeault , Patricio Felmer , Juan Mayorga-Zambrano Monatshefte für Mathematik, 2008, 155 (1), pp.43-66 Journal articles hal-00088819v1
	The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions Jean Dolbeault , Maria J. Esteban , Gabriella Tarantello Annali della Scuola Normale Superiore di Pisa, 2008, 7, pp.313-341 Journal articles hal-00139062v1
	Localized minimizers of flat rotating gravitational systems Jean Dolbeault , Javier Fernández Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2008, 25, pp.1043-1071 Journal articles hal-00112165v1
	Lq-functional inequalities and weighted porous media equations Jean Dolbeault , Ivan Gentil , Arnaud Guillin , Feng-Yu Wang Potential Analysis, 2008, 28, pp.35-59 Journal articles hal-00122415v1
	Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators Roberta Bosi , Jean Dolbeault , Maria J. Esteban Communications on Pure and Applied Mathematics, 2008, 7, pp.533-562 Journal articles hal-00113158v1
	Lieb-Thirring inequalities with improved constants Jean Dolbeault , Ari Laptev , Michael Loss Journal of the European Mathematical Society, 2008, 10, pp.1121-1126 Journal articles hal-00166707v2
	Travelling fronts in stochastic Stokes' drifts Adrien Blanchet , Jean Dolbeault , Michal Kowalczyk Physica A: Statistical Mechanics and its Applications, 2008, 387 (23), pp.5741-5751. ⟨10.1016/j.physa.2008.06.011⟩ Journal articles hal-00277279v1
	Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model Adrien Blanchet , Jean Dolbeault , Miguel Escobedo , Javier Fernández Journal of Mathematical Analysis and Applications, 2008, 361 (2), pp.533-542. ⟨10.1016/j.jmaa.2009.07.034⟩ Journal articles hal-00349216v1
	Interpolation between logarithmic Sobolev and Poincaré inequalities Anton Arnold , Jean-Philippe Bartier , Jean Dolbeault Communications in Mathematical Sciences, 2007, 5 (4), pp.971-979 Journal articles hal-00005559v1
	Relativistic hydrogenic atoms in strong magnetic fields Jean Dolbeault , Maria J. Esteban , Michael Loss Annales Henri Poincaré, 2007, 8 (4), pp.749-779 Journal articles hal-00083501v1
	Hardy-Poincaré inequalities and applications to nonlinear diffusions Adrien Blanchet , Matteo Bonforte , Jean Dolbeault , Gabriele Grillo , Juan-Luis Vázquez Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 344 (7), pp.431-436 Journal articles hal-00105661v1
	Hardy-type estimates for Dirac operators Jean Dolbeault , Javier Duoandikoetxea , Maria J. Esteban , Luis Vega Annales Scientifiques de l'École Normale Supérieure, 2007, 40 (6), pp.885-900 Journal articles hal-00112858v1
	A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients Jean-Philippe Bartier , Jean Dolbeault , Reinhard Illner , Michal Kowalczyk Mathematical Models and Methods in Applied Sciences, 2007, 17 (3), pp.327-362 Journal articles hal-00016363v1
	Nonlinear diffusions as limit of kinetic equations with relaxation collision kernels Jean Dolbeault , Peter Markowich , Dietmar Oelz , Christian Schmeiser Archive for Rational Mechanics and Analysis, 2007, 186 (1), pp.133-158 Journal articles hal-00005892v1
	On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients Adrien Blanchet , Jean Dolbeault , Régis Monneau Journal de Mathématiques Pures et Appliquées, 2006, 85 (3), pp.371-414 Journal articles hal-00004421v1
	General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators. Jean Dolbeault , Maria J. Esteban , Eric Séré Journal of the European Mathematical Society, 2006, 8 (2), pp.243-251 Journal articles hal-00012837v1
	Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations José A. Carrillo , Jean Dolbeault , Ivan Gentil , Ansgar Juengel Discrete and Continuous Dynamical Systems - Series B, 2006, 6 (5), pp.1027-1050 Journal articles hal-00008520v1
	Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems Jean Dolbeault , Patricio Felmer , Michael Loss , Eric Paturel Journal of Functional Analysis, 2006, 238 (1), pp.193-220 Journal articles hal-00005487v1
	Stability for the gravitational Vlasov-Poisson system in dimension two Jean Dolbeault , Javier Fernández , Óscar Sánchez Communications in Partial Differential Equations, 2006, 31, pp.1425-1449 Journal articles hal-00004799v1
	Convex Sobolev inequalities and spectral gap Jean Dolbeault , Jean-Philippe Bartier Comptes Rendus. Mathématique, 2006, 342 (5), pp.307-312 Journal articles hal-00004418v1
	Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions Adrien Blanchet , Jean Dolbeault , Benoît Perthame Electronic Journal of Differential Equations, 2006, 44, pp.32 Journal articles hal-00113519v1
	Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions Adrien Blanchet , Jean Dolbeault , Benoît Perthame Electronic Journal of Differential Equations, 2006, 44, 32 pp Journal articles hal-00021782v1
	Oscillating minimizers of a fourth order problem invariant under scaling Isabelle Catto , Jean Dolbeault , Rafael Benguria , Régis Monneau Journal of Differential Equations, 2004, 205 (1), pp.253-269. ⟨10.1016/j.jde.2004.03.024⟩ Journal articles hal-00157514v1
	A variational method for relativistic computations in atomic and molecular physics Jean Dolbeault , Maria J. Esteban , Eric Séré International Journal of Quantum Chemistry, 2003, 93, pp.149-155 Journal articles hal-00453382v1
	Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators” [j. funct. anal. 174 (1) (2000) 208–226]. Journal of Functional Analysis, 284(1):109651, jan 2023. Jean Dolbeault , Maria J. Esteban , Eric Séré Journal of Functional Analysis, 2000, 284 (1), pp.109651. ⟨10.1016/j.jfa.2022.109651⟩ Journal articles hal-00659883v1
	Minimization methods for the one-particle Dirac equation Jean Dolbeault , Maria J. Esteban , Eric Séré , Michel Vanbreugel Physical Review Letters, 2000, 85 (19), pp.4020-4023. ⟨10.1103/PhysRevLett.85.4020⟩ Journal articles hal-00657535v1

	A short review on Improvements and stability for some interpolation inequalities Jean Dolbeault , Maria J. Esteban , Alessio Figalli , Rupert Frank , Michael Loss ICIAM Congress, Professor Shin'ichi Oishi, Aug 2023, Tokyo, Japan Conference papers hal-04456461v1
	Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs Jean Dolbeault , Maria J. Esteban , Michael Loss International Congress of Mathematicians, IMU, 2018, Rio de Janeiro, Brazil. pp.2279-2304, ⟨10.1142/9789813272880_0138⟩ Conference papers hal-01651793v1
	Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault Optimal Constants in the Theory of Sobolev Spaces and PDEs, Feb 2010, Germany. pp.330-334 Conference papers hal-00456919v1
	Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants Jean Dolbeault , Maria J. Esteban QMath11 Conference Mathematical Results in Quantum Physics, 2010, Czech Republic. pp.178-182 Conference papers hal-00521677v1
	About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities Jean Dolbeault , Maria J. Esteban The Abel Symposium 2010, 2010, Norway. pp.117-130 Conference papers hal-00539019v1
	On the one-dimensional parabolic obstacle problem with variable coefficients Adrien Blanchet , Jean Dolbeault , Régis Monneau Elliptic and parabolic problems, 2005, France. pp.5-66 Conference papers hal-00003074v1

	Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov inPress, Memoirs of the American Mathematical Society Books hal-02887010v3

	Hardy-Littlewood-Sobolev and related inequalities: stability Jean Dolbeault , Maria J. Esteban The Physics and Mathematics of Elliott Lieb. The 90th Anniversary Volume, EMS Press, pp.247-268, 2022, The Physics and Mathematics of Elliott Lieb. The 90th Anniversary Volume Book sections hal-03559431v3
	Sharpening of decay rates in Fourier based hypocoercivity methods Anton Arnold , Jean Dolbeault , Christian Schmeiser , Tobias Wöhrer F. Salvarani. Recent Advances in Kinetic Equations and Applications, 48, Springer INdAM Series, inPress, ⟨10.1007/978-3-030-82946-9_1⟩ Book sections hal-03078698v2
	Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities Jean Dolbeault , Maria Esteban , Michael Loss Pavel Exner; Rupert L. Frank; Fritz Gesztesy; Helge Holden; Timo Weidl. Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume, 18 (1), EMS Press, pp.41-63, 2021, Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume. EMS Series of Congress Reports, ⟨10.4171/ECR/18-1/4⟩ Book sections hal-02984354v1
	Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research Anton Arnold , José Antonio Carrillo , Laurent Desvillettes , Jean Dolbeault , Ansgar Jüngel Nonlinear Differential Equation Models, pp.35-43, 2004, ⟨10.1007/978-3-7091-0609-9_5⟩ Book sections hal-01583063v1
	Computational approaches of relativistic models in quantum chemistry Jean-Paul Desclaux , Jean Dolbeault , Maria J. Esteban , Paul Indelicato , Eric Séré P.G. Ciarlet (series editor), C. Le Bris (guest editor). Handbook of numerical analysis, Vol. X. Special volume: computational chemistry., North-Holland, Amsterdam, pp.453-483, 2003, Handbook of numerical analysis Book sections hal-00573854v1

	Stability for the logarithmic Sobolev inequality Giovanni Brigati , Jean Dolbeault , Nikita Simonov 2024 Preprints, Working Papers, ... hal-04042046v3
	Monotonicity of the period and positive periodic solutions of a quasilinear equation Jean Dolbeault , Marta García-Huidobro , Raúl Manásevich 2024 Preprints, Working Papers, ... hal-03924391v4
	L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states Emeric Bouin , Jean Dolbeault , Luca Ziviani 2023 Preprints, Working Papers, ... hal-04079910v2
	Existence and stability of infinite time blow-up in the Keller-Segel system Juan Davila , Manuel del Pino , Jean Dolbeault , Monica Musso , Juncheng Wei 2023 Preprints, Working Papers, ... hal-02394787v4
	Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence Jean Dolbeault , Maria J. Esteban , Alessio Figalli , Rupert L. Frank , Michael Loss 2023 Preprints, Working Papers, ... hal-03780031v4
	Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities Jean Dolbeault , Andres Zuniga 2022 Preprints, Working Papers, ... hal-03825574v1
	Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking Esther Bou Dagher , Jean Dolbeault 2022 Preprints, Working Papers, ... hal-03834676v1
	Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov 2020 Preprints, Working Papers, ... hal-02887013v1
	Reverse Hardy-Littlewood-Sobolev inequalities Jean Dolbeault , Rupert L Frank , Franca Hoffmann 2018 Preprints, Working Papers, ... hal-01735446v1
	Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault , Maria J. Esteban , Michael Loss 2016 Preprints, Working Papers, ... hal-01286546v1

Jean Dolbeault

Presentation

Research domains

Publications

On Gaussian interpolation inequalities

Parabolic methods for ultraspherical interpolation inequalities

Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators

Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators

Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results

Special macroscopic modes and hypocoercivity

Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations

Fractional hypocoercivity

Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system

Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators

Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model

L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system

Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3

Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results

Interpolation inequalities in W1,p(S1) and carré du champ methods

Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model

Hypocoercivity without confinement

Hypocoercivity and sub-exponential local equilibria

Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields

Diffusion and kinetic transport with very weak confinement

Improved interpolation inequalities and stability

A variational proof of Nash's inequality

Generalized logarithmic Hardy-Littlewood-Sobolev inequality

Reverse Hardy-Littlewood-Sobolev inequalities

Phi-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations

Une cartographie de la communauté mathématique française

Interpolation inequalities and spectral estimates for magnetic operators

Magnetic rings

Weighted interpolation inequalities: a perturbation approach

Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates

Interpolation inequalities on the sphere: linear vs. nonlinear flows

Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities

Onofri inequalities and rigidity results

Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods

Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

Flows and functional inequalities for fractional operators

Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization

Optimal functional inequalities for fractional operators on the sphere and applications

Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays

Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics

Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability

Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities

Hypocoercivity for linear kinetic equations conserving mass

Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

Best matching Barenblatt profiles are delayed

The Moser-Trudinger-Onofri inequality

Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

Nonlinear flows and rigidity results on compact manifolds

One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows

Improved interpolation inequalities on the sphere

Spectral estimates on the sphere

Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane

Sobolev and Hardy-Littlewood-Sobolev inequalities

Existence of sign changing solutions for an equation with a weighted p-Laplace operator

Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations

The Euclidean Onofri inequality in higher dimensions

A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator

Sharp interpolation inequalities on the sphere : new methods and consequences

Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates

Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle

Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes

Improved interpolation inequalities, relative entropy and fast diffusion equations

Improved Poincaré inequalities

Symmetry of extremals of functional inequalities via spectral estimates for linear operators

Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities

From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach

Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion

Thermal effects in gravitational Hartree systems

Fast diffusion equations: matching large time asymptotics by relative entropy methods

Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis

Radial symmetry and symmetry breaking for some interpolation inequalities

Improved intermediate asymptotics for the heat equation

Relative equilibria in continuous stellar dynamics