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TitleCited byYear
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.
A Blanchet, J Dolbeault, B Perthame
Electronic Journal of Differential Equations (EJDE)[electronic only] 2006 …, 2006
Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions
M Del Pino, J Dolbeault
Journal de Mathématiques Pures et Appliquées 81 (9), 847-875, 2002
Optimal critical mass in the two dimensional Keller–Segel model in R2
J Dolbeault, B Perthame
Comptes Rendus Mathematique 339 (9), 611-616, 2004
Hypocoercivity for linear kinetic equations conserving mass
J Dolbeault, C Mouhot, C Schmeiser
Transactions of the American Mathematical Society 367 (6), 3807-3828, 2015
The optimal euclidean Lp-Sobolev logarithmic inequality
M Del Pino, J Dolbeault
Journal of Functional Analysis 197 (1), 151-161, 2003
Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems
P Biler, J Dolbeault
Annales Henri Poincaré 1 (3), 461-472, 2000
A new class of transport distances between measures
J Dolbeault, B Nazaret, G Savaré
Calculus of Variations and Partial Differential Equations 34 (2), 193-231, 2009
Asymptotics of the fast diffusion equation via entropy estimates
A Blanchet, M Bonforte, J Dolbeault, G Grillo, JL Vázquez
Archive for Rational Mechanics and Analysis 191 (2), 347-385, 2009
On the eigenvalues of operators with gaps. Application to Dirac operators
J Dolbeault, MJ Esteban, E Séré
Journal of Functional Analysis 174 (1), 208-226, 2000
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
F Bouchut, J Dolbeault
Differential and Integral Equations 8 (3), 487-514, 1995
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
M Bonforte, J Dolbeault, G Grillo, JL Vázquez
Proceedings of the National Academy of Sciences 107 (38), 16459-16464, 2010
Entropies and equilibria of many-particle systems: an essay on recent research
A Arnold, JA Carrillo, L Desvillettes, J Dolbeault, A Jüngel, C Lederman, ...
Nonlinear Differential Equation Models, 35-43, 2004
On long time asymptotics of the Vlasov—Poisson—Boltzmann equation
L Desvillettes, J Dolbeault
Communications in partial differential equations 16 (2-3), 451-489, 1991
Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states)
J Dolbeault
Journal de mathématiques pures et appliquées 78 (2), 121-157, 1999
“Bubble-tower” radial solutions in the slightly supercritical Brezis–Nirenberg problem
M Del Pino, J Dolbeault, M Musso
Journal of differential equations 193 (2), 280-306, 2003
Kinetic models and quantum effects: a modified Boltzmann equation for Fermi-Dirac particles
J Dolbeault
Archive for rational mechanics and analysis 127 (2), 101-131, 1994
Lieb-Thirring inequalities with improved constants
J Dolbeault, A Laptev, M Loss
arXiv preprint arXiv:0708.1165, 2007
The two-dimensional Keller-Segel model after blow-up
J Dolbeault, C Schmeiser
Hypocoercivity for kinetic equations with linear relaxation terms
J Dolbeault, C Mouhot, C Schmeiser
Comptes Rendus Mathematique 347 (9-10), 511-516, 2009
Hardy–Poincaré inequalities and applications to nonlinear diffusions
A Blanchet, M Bonforte, J Dolbeault, G Grillo, JL Vázquez
Comptes Rendus Mathématique 344 (7), 431-436, 2007
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