On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities

DOI10.1016/j.jde.2010.02.004zbMath1194.58015OpenAlexW2056613122MaRDI QIDQ983275

Marcos Montenegro, Ezequiel R. Barbosa

Publication date: 22 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.02.004

zbMATH Keywords

extremal functionssharp Sobolev inequalitiescompactness problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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