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.
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Weighted interpolation inequalities: a perturbation approach
TL;DR: In this paper, the authors study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail.
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Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations
Jean Dolbeault,Maria J. Esteban +1 more
TL;DR: In this article, the bifurcation of branches of non-symmetric solutions from the symmetric branch of solutions to the Euler-Lagrange equations satisfied by optimal functions in functional inequalities of Caffarelli-Kohn-Nirenberg type was studied.
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Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S: Symmetry And Monotonicity Properties
Jean Dolbeault,Patricio Felmer +1 more
TL;DR: In this article, Symmetry and Monotonicity Properties for Positive Solutions of Semi-Linear Elliptic PDE'S are discussed. But the authors focus on the positive solution of the PDE.
Posted Content
Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics
Jean Dolbeault,Gerhard Rein +1 more
TL;DR: In this paper, rescaling transformations for the Vlasov-poisson and Euler-Poisson systems were investigated and Lyapunov functionals were derived to analyze dispersion effects.
Posted Content
Existence of steady states for the Maxwell-Schr\"odinger-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.