arXiv:1407.7422 Abstract | arXiv Analytics

arXiv:1407.7422 [math.AP]Abstract References Reviews Resources

An inequality à la Szegő-Weinberger for the $p-$Laplacian on convex sets

Published 2014-07-28, updated 2015-08-29Version 2

In this paper we prove a sharp inequality of Szeg\H{o}-Weinberger type for the first nontrivial eigenvalue of the $p-$Laplacian with Neumann boundary conditions. This applies to convex sets with given diameter. Some variants, extensions and limit cases are investigated as well.

Categories: math.AP, math.OC

Subjects: 35P30, 47A75, 34B15

Keywords: convex sets, szegő-weinberger, neumann boundary conditions, first nontrivial eigenvalue, sharp inequality

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