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Jean Dolbeault

126
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Please see my webpage <https://www.ceremade.dauphine.fr/~dolbeaul/>
Please see my webpage <https://www.ceremade.dauphine.fr/~dolbeaul/>

Publications

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

Kleber Carrapatoso , Jean Dolbeault , Frédéric Hérau , Stéphane Mischler , Clément Mouhot et al.
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
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Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3

Denis Bonheure , Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss et al.
Reviews in Mathematical Physics, 2021, 33 (3), pp.2150006-1-2150006-29. ⟨10.1142/S0129055X21500069⟩
Journal articles hal-02021174v3
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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
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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
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Hypocoercivity and sub-exponential local equilibria

Emeric Bouin , Jean Dolbeault , Laurent Lafleche , Christian Schmeiser
Monatshefte für Mathematik, In press, ⟨10.1007/s00605-020-01483-8⟩
Journal articles hal-02377195v2
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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
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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
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Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields

Denis Bonheure , Jean Dolbeault , Maria J. Esteban , Ari Laptev , Michael Loss et al.
Communications in Mathematical Physics, 2020, 375 (3), pp.2071-2087. ⟨10.1007/s00220-019-03560-y⟩
Journal articles hal-02003872v2
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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
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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⟩
Journal articles hal-01940110v1
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Hypocoercivity without confinement

Emeric Bouin , Jean Dolbeault , Stéphane Mischler , Clément Mouhot , Christian Schmeiser et al.
Pure and Applied Analysis, 2020, 2 (2), pp.203-232. ⟨10.2140/paa.2020.2.203⟩
Journal articles hal-01575501v4
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Generalized logarithmic Hardy-Littlewood-Sobolev inequality

Jean Dolbeault , Xingyu Li
International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnz324⟩
Journal articles hal-02281279v3
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Reverse Hardy-Littlewood-Sobolev inequalities

José A. Carrillo , Matías G Delgadino , Jean Dolbeault , Rupert L Frank , Franca Hoffmann et al.
Journal de Mathématiques Pures et Appliquées, 2019, 132, pp.133-165. ⟨10.1016/j.matpur.2019.09.001⟩
Journal articles hal-01837888v3
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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
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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
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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
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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
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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⟩
Journal articles hal-01092572v3
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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
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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
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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
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Flows and functional inequalities for fractional operators

Jean Dolbeault , An Zhang
Applicable Analysis, 2017, 96 (9), pp.1547-1560
Journal articles hal-01404580v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Hypocoercivity for linear kinetic equations conserving mass

Jean Dolbeault , Clément Mouhot , Christian Schmeiser
Transactions of the American Mathematical Society, 2015, 367, pp.3807-3828
Journal articles hal-00482286v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Sobolev and Hardy-Littlewood-Sobolev inequalities

Jean Dolbeault , Gaspard Jankowiak
Journal of Differential Equations, 2014, 257 (6), pp.1689-1720
Journal articles hal-00915998v3
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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
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Spectral estimates on the sphere

Jean Dolbeault , Maria J. Esteban , Ari Laptev
Analysis & PDE, 2014, 7 (2), pp.435-460
Journal articles hal-00770755v2
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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
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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
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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
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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
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Improved interpolation inequalities, relative entropy and fast diffusion equations

Jean Dolbeault , Giuseppe Toscani
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2013, 30 (5), pp.917-934
Journal articles hal-00634852v2
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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
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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
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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
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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
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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
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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
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Improved Poincaré inequalities

Jean Dolbeault , Bruno Volzone
Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (16), pp.5985 - 6001
Journal articles hal-00638281v1
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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
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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
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Thermal effects in gravitational Hartree systems

Gonca Aki , Jean Dolbeault , Christof Sparber
Annales Henri Poincaré, 2011, 12, pp.1055-1079
Journal articles hal-00512641v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Asymptotics of the fast diffusion equation via entropy estimates

Adrien Blanchet , Matteo Bonforte , Jean Dolbeault , Gabriele Grillo , Juan-Luis Vázquez et al.
Archive for Rational Mechanics and Analysis, 2009, 191, pp.347-385
Journal articles hal-00142404v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Localized minimizers of flat rotating gravitational systems

Jean Dolbeault , Javier Fernández
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2008, 25, pp.1043-1071
Journal articles hal-00112165v1
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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
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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
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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
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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
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Hardy-Poincaré inequalities and applications to nonlinear diffusions

Adrien Blanchet , Matteo Bonforte , Jean Dolbeault , Gabriele Grillo , Juan-Luis Vázquez et al.
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 344 (7), pp.431-436
Journal articles hal-00105661v1
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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
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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

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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities

Jean Dolbeault , Maria J. Esteban , Michael Loss
Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume, 18, EMS Press, pp.41-63, 2021, Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume. EMS Series of Congress Reports
Book sections hal-02984354v1
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Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

Anton Arnold , José Antonio Carrillo , Laurent Desvillettes , Jean Dolbeault , Ansgar Jüngel et al.
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 et al.
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
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Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators

Jean Dolbeault , Maria J Esteban , Eric Séré
2022
Preprints, Working Papers, ... hal-03702964v1
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Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities

Jean Dolbeault , Andres Zuniga
2022
Preprints, Working Papers, ... hal-03825574v1
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Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence

Jean Dolbeault , Maria J. Esteban , Alessio Figalli , Rupert L. Frank , Michael Loss et al.
2022
Preprints, Working Papers, ... hal-03780031v3
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Special macroscopic modes and hypocoercivity

Kleber Carrapatoso , Jean Dolbeault , Frédéric Hérau , Stéphane Mischler , Clément Mouhot et al.
2022
Preprints, Working Papers, ... hal-03222748v3
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Existence and stability of infinite time blow-up in the Keller-Segel system

Juan Davila , Manuel del Pino , Jean Dolbeault , Monica Musso , Juncheng Wei et al.
2020
Preprints, Working Papers, ... hal-02394787v3
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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
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Reverse Hardy-Littlewood-Sobolev inequalities

Jean Dolbeault , Rupert L Frank , Franca Hoffmann
2018
Preprints, Working Papers, ... hal-01735446v1
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Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities

Jean Dolbeault , Maria J. Esteban , Michael Loss
2016
Preprints, Working Papers, ... hal-01286546v1