On the geometric dependence of Riemannian Sobolev best constants

DOI10.3934/cpaa.2009.8.1759zbMath1201.32012arXiv0708.2376OpenAlexW2074931635MaRDI QIDQ1035028

Ezequiel R. Barbosa, Marcos Montenegro

Publication date: 9 November 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2376

zbMATH Keywords

continuity of the \(L^p\)-Sobolev best constantfirst order Sobolev inequalitiesspace of smooth Riemannian metrics

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Positive curvature complex manifolds (32Q10)

Related Items (2)

Extremal maps in best constants vector theory. I: Duality and compactness ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities

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