Onofri inequalities and rigidity results

DOI10.3934/dcds.2017131zbMath1359.58015arXiv1404.7338OpenAlexW2963178668MaRDI QIDQ515245

Maria J. Esteban, Gaspard Jankowiak, Jean Dolbeault

Publication date: 13 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7338

zbMATH Keywords

uniquenessrigidityPoincaré inequalityRicci tensorLaplace-Beltrami operatorsemilinear elliptic equationSobolev inequalitynonlinear diffusioncompact Riemannian manifoldcarré du champMoser-Trudinger-Onofri inequalityoptimal constant

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Geophysics and Stuart vortices on a sphere meet differential geometry ⋮ Rigidity results for the p‐Laplace type equations on compact Riemannian manifolds ⋮ Limit of fractional power Sobolev inequalities

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