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

created by brasco on 24 Jul 2014
modified on 29 Aug 2015

[BibTeX]

Accepted Paper

Inserted: 24 jul 2014
Last Updated: 29 aug 2015

Journal: Commun. Contemp. Math.
Pages: 22
Year: 2015

Abstract:

In this paper we prove a sharp upper bound for the first nontrivial eigenvalue of the $p-$Laplacian with Neumann boundary conditions. This applies to convex sets with given diameter. Some variants and extensions are investigated as well.