Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system

Dolbeault, Jean; Frank, Rupert L.; Jeanjean, Louis

Comptes Rendus. Mathématique, Volume 359 (2021) p. 1279-1293

Interpolation inequalities on the sphere: linear vs. nonlinear flows

Dolbeault, Jean; Esteban, Maria J.; Loss, Michael

Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 26 (2017) p. 351-379

Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates

Dolbeault, Jean; Kowalczyk, Michał

Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 26 (2017) p. 949-977

Symmetry for extremal functions in subcritical Caffarelli–Kohn–Nirenberg inequalities

Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo

Comptes Rendus. Mathématique, Volume 355 (2017) p. 133-154

Keller–Lieb–Thirring inequalities for Schrödinger operators on cylinders

Dolbeault, Jean; Esteban, Maria J.; Loss, Michael

Comptes Rendus. Mathématique, Volume 353 (2015) p. 813-818

Improved interpolation inequalities, relative entropy and fast diffusion equations

Dolbeault, Jean; Toscani, Giuseppe

Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) p. 917-934

Spectral properties of Schrödinger operators on compact manifolds: Rigidity, flows, interpolation and spectral estimates

Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael

Comptes Rendus. Mathématique, Volume 351 (2013) p. 437-440

A functional framework for the Keller–Segel system: Logarithmic Hardy–Littlewood–Sobolev and related spectral gap inequalities

Dolbeault, Jean; Campos, Juan

Comptes Rendus. Mathématique, Volume 350 (2012) p. 949-954

Hypocoercivity for kinetic equations with linear relaxation terms

Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian

Comptes Rendus. Mathématique, Volume 347 (2009) p. 511-516

Localized minimizers of flat rotating gravitational systems

Dolbeault, Jean; Fernández, Javier

Annales de l'I.H.P. Analyse non linéaire, Volume 25 (2008) p. 1043-1071

The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions

Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Volume 7 (2008) p. 313-341

Hardy–Poincaré inequalities and applications to nonlinear diffusions

Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan-Luis

Comptes Rendus. Mathématique, Volume 344 (2007) p. 431-436

Hardy-type estimates for Dirac operators

Dolbeault, Jean; Esteban, Maria J.; Duoandikoetxea, Javier; Vega, Luis

Annales scientifiques de l'École Normale Supérieure, Volume 40 (2007) p. 885-900

Convex Sobolev inequalities and spectral gap

Bartier, Jean-Philippe; Dolbeault, Jean

Comptes Rendus. Mathématique, Volume 342 (2006) p. 307-312

Optimal critical mass in the two dimensional Keller–Segel model in R2

Dolbeault, Jean; Perthame, Benoît

Comptes Rendus. Mathématique, Volume 339 (2004) p. 611-616

On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two

Dolbeault, Jean; Monneau, Régis

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Volume 2 (2003) p. 181-197

Convexity estimates for nonlinear elliptic equations and application to free boundary problems

Dolbeault, Jean; Monneau, Régis

Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) p. 903-926

Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the $𝐩$-Laplacian

Del Pino, Manuel; Dolbeault, Jean

Comptes Rendus. Mathématique, Volume 334 (2002) p. 365-370

About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators

Dolbeault, Jean; Esteban, Maria J.; Séré, Eric

Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz", (2001-2002) p. 1-10