Jean Dolbeault

Identifiants chercheurs

IdHAL :

dolbeaul

ORCID :

0000-0003-4234-2298

IdRef :

120112507

arXiv :

dolbeault_j_1

ResearcherID :

http://www.researcherid.com/rid/O-2328-2017

Présentation

Please see my webpage

https://www.ceremade.dauphine.fr/~dolbeaul/

Publications

Article dans une revue (121)

Logarithmic Sobolev inequalities: a review on stability and instability results Giovanni Brigati,Jean Dolbeault,Nikita Simonov La Matematica, 2026, 5 (5), pp.5. ⟨10.1007/s44007-025-00180-y⟩ Article dans une revue hal-05030941v3
Monotonicity of the period and positive periodic solutions of a quasilinear equation Jean Dolbeault,Marta García-Huidobro,Raúl Manásevich Bulletin of the London Mathematical Society, In press Article dans une revue hal-03924391v5
Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence Jean Dolbeault,Maria Esteban,Alessio Figalli,Rupert L. Frank,Michael Loss Cambridge Journal of Mathematics, 2025, 13 (2), pp.359-430. ⟨10.4310/CJM.250325022725⟩ Article dans une revue hal-03780031v5
On Gaussian interpolation inequalities Giovanni Brigati,Jean Dolbeault,Nikita Simonov Comptes Rendus. Mathématique, 2024, 362 (G1), pp.21-44. ⟨10.5802/crmath.488⟩ Article dans une revue hal-03978122v2
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, 2024, 41, pp.1289-1321. ⟨10.4171/AIHPC/106⟩ Article dans une revue hal-03868496v4
Special macroscopic modes and hypocoercivity Kleber Carrapatoso,Jean Dolbeault,Frédéric Hérau,Stéphane Mischler,Clément Mouhotet al. Journal of the European Mathematical Society, 2024, ⟨10.4171/JEMS/1502⟩ Article dans une revue hal-03222748v5
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, 2024, 40 (2), pp.649-692. ⟨10.4171/RMI/1443⟩ Article dans une revue hal-03803758v2
Existence and stability of infinite time blow-up in the Keller-Segel system Juan Dávila,Manuel del Pino,Jean Dolbeault,Monica Musso,Juncheng Wei Archive for Rational Mechanics and Analysis, 2024, 248 (4), pp.61. ⟨10.1007/s00205-024-02006-7⟩ Article dans une revue hal-02394787v4
Stability for the logarithmic Sobolev inequality Giovanni Brigati,Jean Dolbeault,Nikita Simonov Journal of Functional Analysis, 2023, 287 (8), pp.1-21/110562. ⟨10.1016/j.jfa.2024.110562⟩ Article dans une revue hal-04042046v3
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⟩ Article dans une revue hal-03702964v4
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⟩ Article dans une revue hal-03573888v1
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, 2023, 43 (3&4), pp.1070-1089. ⟨10.3934/dcds.2022093⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue hal-03059166v1
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⟩ Article dans une revue hal-03289546v2
Hypocoercivity and sub-exponential local equilibria Emeric Bouin,Jean Dolbeault,Laurent Lafleche,Christian Schmeiser Monatshefte für Mathematik, 2021, 194, pp.41-65. ⟨10.1007/s00605-020-01483-8⟩ Article dans une revue hal-02377195v2
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⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue hal-02021174v3
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⟩ Article dans une revue 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⟩ Article dans une revue hal-02559938v2
A variational proof of Nash's inequality Emeric Bouin,Jean Dolbeault,Christian Schmeiser Rendiconti Lincei. Matematica e Applicazioni, inPress, 31, pp.211-223. ⟨10.4171/RLM/886⟩ Article dans une revue hal-01940110v1
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⟩ Article dans une revue hal-01991665v1
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⟩ Article dans une revue hal-02003872v2
Improved interpolation inequalities and stability Jean Dolbeault,Maria J. Esteban Advanced Nonlinear Studies, 2020, 20 (2), pp.277-291. ⟨10.1515/ans-2020-2080⟩ Article dans une revue hal-02266625v1
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⟩ Article dans une revue hal-01575501v4
Generalized logarithmic Hardy-Littlewood-Sobolev inequality Jean Dolbeault,Xingyu Li International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnz324⟩ Article dans une revue 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⟩ Article dans une revue hal-01837888v3
Magnetic rings Jean Dolbeault,Maria J. Esteban,Ari Laptev,Michael Loss Journal of Mathematical Physics, 2018, 59 (5), pp.051504. ⟨10.1063/1.5022121⟩ Article dans une revue hal-01680917v2
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⟩ Article dans une revue hal-01672455v2
Interpolation inequalities and spectral estimates for magnetic operators Jean Dolbeault,Maria J. Esteban,Ari Laptev,Michael Loss Annales Henri Poincaré, 2018, 19 (5), pp.1439-1463. ⟨10.1007/s00023-018-0663-9⟩ Article dans une revue hal-01534961v2
Une cartographie de la communauté mathématique française Maxime Chupin,Jean Dolbeault,Maria J. Esteban,Mathieu Lewin Gazette des Mathématiciens, 2018, 156, pp.49-61 Article dans une revue hal-01705526v1
Weighted interpolation inequalities: a perturbation approach Jean Dolbeault,Matteo Muratori,Bruno Nazaret Mathematische Annalen, 2017, ⟨10.1007/s00208-016-1480-4⟩ Article dans une revue 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., In press, 26 (4), pp.949-977. ⟨10.5802/afst.1557⟩ Article dans une revue hal-01092572v3
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 Article dans une revue hal-01279327v2
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 Article dans une revue hal-01206975v2
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 Article dans une revue hal-01279326v2
Flows and functional inequalities for fractional operators Jean Dolbeault,An Zhang Applicable Analysis, 2017, 96 (9), pp.1547-1560 Article dans une revue hal-01404580v1
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 Article dans une revue hal-00985211v2
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 Article dans une revue hal-01318727v1
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 Article dans une revue 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 Article dans une revue hal-01358059v2
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 Article dans une revue hal-01103574v1
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 Article dans une revue hal-01162902v2
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⟩ Article dans une revue 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 Article dans une revue hal-01089318v1
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 Article dans une revue 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 Article dans une revue hal-01081098v2
The Moser-Trudinger-Onofri inequality Jean Dolbeault,Maria J. Esteban,Gaspard Jankowiak Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.777-802 Article dans une revue hal-00961363v3
Best matching Barenblatt profiles are delayed Jean Dolbeault,Giuseppe Toscani Journal of Physics A General Physics (1968-1972), 2015, 48 (6), pp.065206, 14 Article dans une revue hal-01058838v2
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 Article dans une revue hal-01137403v2
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 Article dans une revue hal-00859375v2
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 Article dans une revue hal-00784887v2
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 Article dans une revue hal-00706194v2
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 Article dans une revue 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 Article dans une revue hal-00867909v2
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 Article dans une revue 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 Article dans une revue hal-00812996v2
Sobolev and Hardy-Littlewood-Sobolev inequalities Jean Dolbeault,Gaspard Jankowiak Journal of Differential Equations, 2014, 257 (6), pp.1689-1720 Article dans une revue hal-00915998v3
Spectral estimates on the sphere Jean Dolbeault,Maria J. Esteban,Ari Laptev Analysis & PDE, 2014, 7 (2), pp.435-460 Article dans une revue hal-00770755v2
The Euclidean Onofri inequality in higher dimensions Manuel del Pino,Jean Dolbeault International Mathematics Research Notices, 2013, 15, pp.3600-3611 Article dans une revue 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 Article dans une revue hal-00695542v1
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 Article dans une revue hal-00834551v1
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 Article dans une revue hal-00799252v2
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 Article dans une revue hal-00634852v2
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⟩ Article dans une revue hal-00658343v1
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⟩ Article dans une revue hal-00739140v1
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 Article dans une revue hal-00727573v1
Improved Poincaré inequalities Jean Dolbeault,Bruno Volzone Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (16), pp.5985 - 6001 Article dans une revue hal-00638281v1
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 Article dans une revue 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 Article dans une revue hal-00595042v1
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 Article dans une revue hal-00496936v2
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 Article dans une revue hal-00626739v2
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 Article dans une revue hal-00482898v2
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 Article dans une revue hal-00516710v1
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⟩ Article dans une revue hal-00411913v1
Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion Jean Dolbeault Math. Res. Lett., 2011, 18 (6), pp.1037-1050 Article dans une revue hal-00573943v1
Thermal effects in gravitational Hartree systems Gonca Aki,Jean Dolbeault,Christof Sparber Annales Henri Poincaré, 2011, 12, pp.1055-1079 Article dans une revue hal-00512641v1
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⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue 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⟩ Article dans une revue hal-00404718v1
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 Article dans une revue hal-00158767v1
Non-existence and uniqueness results for supercritical semilinear elliptic equations Jean Dolbeault,Robert Stanczy Annales Henri Poincaré, 2009, 10 (7), pp.1311-1333 Article dans une revue hal-00349574v2
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 Article dans une revue hal-00142404v1
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 Article dans une revue 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 Article dans une revue hal-00323700v1
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 Article dans une revue hal-00270521v1
A new class of transport distances between measures Jean Dolbeault,Bruno Nazaret,Giuseppe Savaré Calculus of Variations and Partial Differential Equations, 2009, 34 (2), pp.193-231 Article dans une revue hal-00262455v1
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 Article dans une revue hal-00267954v1
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 Article dans une revue hal-00402961v2
Hypocoercivity for kinetic equations with linear relaxation terms Jean Dolbeault,Clément Mouhot,Christian Schmeiser Comptes Rendus. Mathématique, 2009, 347 (9-10), pp.511-516 Article dans une revue hal-00331947v2
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 Article dans une revue 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 Article dans une revue hal-00088819v1
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 Article dans une revue hal-00196935v1
Lieb-Thirring inequalities with improved constants Jean Dolbeault,Ari Laptev,Michael Loss Journal of the European Mathematical Society, 2008, 10, pp.1121-1126 Article dans une revue hal-00166707v2
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 Article dans une revue hal-00113158v1
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 Article dans une revue hal-00139062v1
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⟩ Article dans une revue hal-00349216v1
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⟩ Article dans une revue hal-00277279v1
Lq-functional inequalities and weighted porous media equations Jean Dolbeault,Ivan Gentil,Arnaud Guillin,Feng-Yu Wang Potential Analysis, 2008, 28, pp.35-59 Article dans une revue hal-00122415v1
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 Article dans une revue hal-00112165v1
Interpolation between logarithmic Sobolev and Poincaré inequalities Anton Arnold,Jean-Philippe Bartier,Jean Dolbeault Communications in Mathematical Sciences, 2007, 5 (4), pp.971-979 Article dans une revue hal-00005559v1
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 Article dans une revue 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 Article dans une revue hal-00005892v1
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 Article dans une revue hal-00112858v1
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 Article dans une revue hal-00105661v1
Relativistic hydrogenic atoms in strong magnetic fields Jean Dolbeault,Maria J. Esteban,Michael Loss Annales Henri Poincaré, 2007, 8 (4), pp.749-779 Article dans une revue hal-00083501v1
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 Article dans une revue hal-00004421v1
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 Article dans une revue hal-00113519v1
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 Article dans une revue hal-00005487v1
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 Article dans une revue 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 Article dans une revue hal-00008520v1
Convex Sobolev inequalities and spectral gap Jean Dolbeault,Jean-Philippe Bartier Comptes Rendus. Mathématique, 2006, 342 (5), pp.307-312 Article dans une revue hal-00004418v1
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 Article dans une revue hal-00004799v1
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 Article dans une revue 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⟩ Article dans une revue 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 Article dans une revue hal-00453382v1
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⟩ Article dans une revue hal-00657535v1
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⟩ Article dans une revue hal-00659883v1

Communication dans un congrès (5)

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⟩ Communication dans un congrès hal-01651793v1
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 Communication dans un congrès hal-00539019v1
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 Communication dans un congrès hal-00521677v1
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 Communication dans un congrès hal-00456919v1
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 Communication dans un congrès hal-00003074v1

Ouvrages (1)

Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method Matteo Bonforte,Jean Dolbeault,Bruno Nazaret,Nikita Simonov In press, Memoirs of the American Mathematical Society Ouvrages hal-02887010v4

Chapitre d'ouvrage (7)

Stability results for Sobolev, logarithmic Sobolev, and related inequalities Jean Dolbeault Research Perspectives Ghent Analysis and PDE Center - Direct and Inverse Problems with Applications, and Related Topics, 12, Springer Nature Switzerland, pp.31-47, In press, Trends in Mathematics, ⟨10.1007/978-3-031-98645-1_4⟩ Chapitre d'ouvrage hal-04793179v2
L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states Emeric Bouin,Jean Dolbeault,Luca Ziviani S. Menozzi et al. Kolmogorov Operators and Their Applications, 56, Springer Nature, pp.23-56, 2023, ⟨10.1007/978-981-97-0225-1_2⟩ Chapitre d'ouvrage hal-04079910v3
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 Chapitre d'ouvrage 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, In press, ⟨10.1007/978-3-030-82946-9_1⟩ Chapitre d'ouvrage 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⟩ Chapitre d'ouvrage hal-02984354v1
Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research Anton Arnold,José Antonio Carrillo,Laurent Desvillettes,Jean Dolbeault,Ansgar Jüngelet al. Nonlinear Differential Equation Models, pp.35-43, 2004, ⟨10.1007/978-3-7091-0609-9_5⟩ Chapitre d'ouvrage 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 Chapitre d'ouvrage hal-00573854v1

Pré-publication, Document de travail (6)

The fundamental solution of a nonlinear kinetic Fokker-Planck equation Giovanni Brigati,Guillaume Carlier,Jean Dolbeault 2026 Pré-publication, Document de travail hal-05570659v1
Interpolation inequalities on the sphere and phase transition: rigidity, symmetry and symmetry breaking Esther Bou Dagher,Jean Dolbeault 2024 Pré-publication, Document de travail hal-03834676v2
Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities Jean Dolbeault,Andres Zuniga 2022 Pré-publication, Document de travail hal-03825574v1
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 Pré-publication, Document de travail hal-02887013v1
Reverse Hardy-Littlewood-Sobolev inequalities Jean Dolbeault,Rupert L Frank,Franca Hoffmann 2018 Pré-publication, Document de travail hal-01735446v1
Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities Jean Dolbeault,Maria J. Esteban,Michael Loss 2016 Pré-publication, Document de travail hal-01286546v1