On the best constants in Sobolev inequalities on the solid torus in the limit case \(p = 1\)

DOI10.1515/anona-2015-0125zbMath1359.46033OpenAlexW2486717435MaRDI QIDQ309085

Nikos Labropoulos, Vicenţiu D. Rădulescu

Publication date: 7 September 2016

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2015-0125

zbMATH Keywords

symmetriesSobolev inequalitiesmanifolds with boundarysolid torusbest constantslimit case

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Best constants in approximation theory (41A44)

Related Items

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent, Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries, On the Hardy–Sobolev Inequalities, Analytical approach of the symmetry: sharp supercritical Hardy-Sobolev inequalities and applications, The cone Moser–Trudinger inequalities and applications, Vector analysis on symmetric manifolds and Sobolev inequalities

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