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 | 620 | 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 | 415 | 2002 |
Hypocoercivity for linear kinetic equations conserving mass J Dolbeault, C Mouhot, C Schmeiser Transactions of the American Mathematical Society 367 (6), 3807-3828, 2015 | 343 | 2015 |
Optimal critical mass in the two dimensional Keller–Segel model in R2 J Dolbeault, B Perthame Comptes Rendus Mathematique 339 (9), 611-616, 2004 | 283 | 2004 |
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 | 202 | 2009 |
The optimal euclidean Lp-Sobolev logarithmic inequality M Del Pino, J Dolbeault Journal of Functional Analysis 197 (1), 151-161, 2003 | 195 | 2003 |
Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems P Biler, J Dolbeault Annales Henri Poincaré 1, 461-472, 2000 | 175 | 2000 |
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, 347-385, 2009 | 154 | 2009 |
Hypocoercivity for kinetic equations with linear relaxation terms J Dolbeault, C Mouhot, C Schmeiser Comptes Rendus. Mathématique 347 (9-10), 511-516, 2009 | 153 | 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 | 151 | 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 | 149 | 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 | 126 | 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 | 111 | 2004 |
Kinetic models and quantum effects: a modified Boltzmann equation forFermi-Dirac particles J Dolbeault | 99 | 1994 |
Lieb–Thirring inequalities with improved constants A Laptev, J Dolbeault, M Loss Journal of the European Mathematical Society 10 (4), 1121-1126, 2008 | 90 | 2008 |
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces J Dolbeault, MJ Esteban, M Loss Inventiones mathematicae 206, 397-440, 2016 | 89 | 2016 |
“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 | 88 | 2003 |
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 2 (78), 121-157, 1999 | 81 | 1999 |
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 | 80 | 2007 |
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 | 79 | 1991 |