On the second best constant in logarithmic Sobolev inequalities on complete Riemannian manifolds.

DOI10.1016/S0007-4497(03)00022-8zbMath1036.58015WikidataQ115340656 ScholiaQ115340656MaRDI QIDQ1407216

Christophe Brouttelande

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Logarithmic Sobolev inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Hypercontractivity property and general optimal \(L^p\)-entropy inequalities on Riemannian manifolds ⋮ Improved interpolation inequalities on the sphere ⋮ Existence of solutions for a nonlinear elliptic problem on a Riemannian manifold ⋮ Extremal maps in Sobolev type inequalities: some remarks ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ Sharp \(L^p\)-entropy inequalities on manifolds

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