J
Jean Dolbeault
Researcher at Paris Dauphine University
Publications - 308
Citations - 7911
Jean Dolbeault is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Sobolev inequality & Nonlinear system. The author has an hindex of 42, co-authored 293 publications receiving 7072 citations. Previous affiliations of Jean Dolbeault include Paul Sabatier University & PSL Research University.
Papers
More filters
Journal ArticleDOI
The brezis-nirenberg problem near criticality in dimension 3 ?
TL;DR: In this paper, the problem of finding positive solutions of u +u +u q = 0 in a bounded, smooth domain in 3, under zero Dirichlet boundary conditions was considered.
Journal ArticleDOI
Interpolation between Logarithmic Sobolev and Poincare Inequalities
TL;DR: In this article, the authors consider intermediate inequalities which interpolate between the logarithmic Sobolev and the Poincare inequalities, and improve upon the known constants from the literature.
Journal ArticleDOI
Existence of steady states for the maxwell–schrödinger–poisson system: exploring the applicability of the concentration–compactness principle
TL;DR: In this paper, a combination of tools, proofs and results are presented in the framework of the concentration-compactness method for the existence of steady states to the Maxwell-Schrodinger system.
Journal ArticleDOI
Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities
Jean Dolbeault,Giuseppe Toscani +1 more
TL;DR: In this paper, an improvement of functional inequalities based on scalings and written in terms of relative entropies is presented, and faster convergence rates in diffusion equations (fast diffusion, Ornstein-Uhlenbeck and porous medium equations) are obtained.
Journal ArticleDOI
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
TL;DR: In this article, the optimal symmetry breaking region in Caffarelli-Kohn-Nirenberg inequalities is characterized and sharp estimates for the principal eigenvalue of Schrodinger operators on some non-flat non-compact manifolds are obtained.