Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds

DOI10.1090/S0002-9947-01-02913-0zbMath0992.58017OpenAlexW2069962509WikidataQ115289141 ScholiaQ115289141MaRDI QIDQ2759061

Emmanuel Hebey

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02913-0

zbMATH Keywords

Riemannian manifoldextremal functionSobolev-Poincaré inequality

Mathematics Subject Classification ID

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

Related Items (6)

Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications. ⋮ Poincaré inequalities with the Radon measure for differential forms ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ Sharp Sobolev inequalities involving boundary terms revisited ⋮ Best constants in the exceptional case of Sobolev inequalities ⋮ A sharp Sobolev trace inequality involving the mean curvature on Riemannian manifolds

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