On the extremal functions of Sobolev-Poincaré inequality

DOI10.2140/pjm.2004.214.185zbMath1113.58009OpenAlexW1980774131MaRDI QIDQ706071

Meijun Zhu

Publication date: 16 February 2005

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2004.214.185

zbMATH Keywords

Riemannian manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05)

Related Items (5)

Dirichlet and Neumann problems to critical Emden-Fowler type equations ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball ⋮ On a Sharp Poincaré-Type Inequality on the 2-Sphere and its Application in Micromagnetics ⋮ On the existence of extremal functions in Sobolev embedding theorems with critical exponents

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