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Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities

 Jean Dolbeault , Andres Zuniga
2022
Pré-publication, Document de travail hal-03825574v1
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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⟩
Article dans une revue hal-01672455v2
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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
Article dans une revue hal-01358059v2
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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
Article dans une revue hal-00004799v1
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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
Chapitre d'ouvrage hal-03559431v3
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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
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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
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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
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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
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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
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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

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
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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
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Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities

 Jean Dolbeault , Maria J. Esteban , Michael Loss
2016
Pré-publication, Document de travail hal-01286546v1
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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
Article dans une revue hal-00083501v1
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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
Article dans une revue hal-01206975v2
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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
Article dans une revue hal-00626739v2
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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⟩
Article dans une revue hal-02266625v1
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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
Article dans une revue hal-00016363v1
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Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking

 Esther Bou Dagher , Jean Dolbeault
2022
Pré-publication, Document de travail hal-03834676v1

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
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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
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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
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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
Article dans une revue hal-00573943v1
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L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states

 Emeric Bouin , Jean Dolbeault , Luca Ziviani
2023
Pré-publication, Document de travail hal-04079910v2
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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⟩
Article dans une revue hal-02559938v2
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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
Article dans une revue hal-00695542v1
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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

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
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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
Article dans une revue hal-00139062v1
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