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.
An inequality à la Szego-Weinberger for the p-Laplacian on convex sets
BRASCO, Lorenzo;
2016
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.File in questo prodotto:
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