Integral and isocapacitary inequalities

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dc.creatorMaz'ya, Vladimir
dc.date2008-09-15
dc.date.accessioned2026-07-07T10:02:50Z
dc.date.available2026-07-07T10:02:50Z
dc.descriptionIt is shown by a counterexample that isocapacitary and isoperimetric constants of a multi-dimensional Euclidean domain starshaped with respect to a ball are not equivalent. Sharp integral inequalities involving the harmonic capacity which imply Faber-Krahn property of the fundamental Dirichlet-Laplace eigenvalue are obtained. Necessary and sufficient conditions ensuring integral inequalities between a difference seminorm and the $L_p$-norm of the gradient are found.
dc.identifierhttps://arxiv.org/abs/0809.2511
dc.identifierhttp://arxiv.org/abs/0809.2511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169115
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject54C40, 14E20
dc.titleIntegral and isocapacitary inequalities
dc.typetext

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