Functional inequalities on arbitrary Riemannian manifolds

DOI10.1016/j.jmaa.2004.06.048zbMath1086.58020OpenAlexW2072717540WikidataQ115346351 ScholiaQ115346351MaRDI QIDQ703668

Feng-Yu Wang

Publication date: 11 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.048

zbMATH Keywords

Riemannian manifoldsPoincaré inequalitySobolev inequalityLog-Sobolev inequalitySuper-Poincaré inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

On the equivalence between \(p\)-Poincaré inequalities and \(L^r\)-\(L^q\) regularization and decay estimates of certain nonlinear evolutions ⋮ Lyapunov conditions for super Poincaré inequalities

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