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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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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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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 articles
hal-00659883v1
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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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Magnetic rings
Jean Dolbeault
,
Maria J. Esteban
,
Ari Laptev
,
Michael Loss
Journal articles
hal-01680917v2
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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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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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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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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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Convex Sobolev inequalities and spectral gap
Jean Dolbeault
,
Jean-Philippe Bartier
Comptes Rendus. Mathématique, 2006, 342 (5), pp.307-312
Journal articles
hal-00004418v1
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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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Oscillating minimizers of a fourth order problem invariant under scaling
Isabelle Catto
,
Jean Dolbeault
,
Rafael Benguria
,
Régis Monneau
Journal articles
hal-00157514v1
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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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Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3
Denis Bonheure
,
Jean Dolbeault
,
Maria J. Esteban
,
Ari Laptev
,
Michael Loss
et al.
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 articles
hal-02299535v4
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Stability for the logarithmic Sobolev inequality
Giovanni Brigati
,
Jean Dolbeault
,
Nikita Simonov
2023
Preprints, Working Papers, ...
hal-04042046v1
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Hypocoercivity and sub-exponential local equilibria
Emeric Bouin
,
Jean Dolbeault
,
Laurent Lafleche
,
Christian Schmeiser
Journal articles
hal-02377195v2
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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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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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Generalized logarithmic Hardy-Littlewood-Sobolev inequality
Jean Dolbeault
,
Xingyu Li
Journal articles
hal-02281279v3
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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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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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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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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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Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
Jean Dolbeault
Journal articles
hal-03289546v2
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Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system
Jean Dolbeault
,
Rupert L. Frank
,
Louis Jeanjean
Journal articles
hal-03276199v2
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Minimization methods for the one-particle Dirac equation
Jean Dolbeault
,
Maria J. Esteban
,
Eric Séré
,
Michel Vanbreugel
Journal articles
hal-00657535v1
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Keller estimates of the eigenvalues in the gap of Dirac operators
Jean Dolbeault
,
David Gontier
,
Fabio Pizzichillo
,
Hanne Van Den Bosch
2022
Preprints, Working Papers, ...
hal-03803758v1
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Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking
Esther Bou Dagher
,
Jean Dolbeault
2022
Preprints, Working Papers, ...
hal-03834676v1
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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
Conference papers
hal-00003074v1
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