Asymptotic Behavior of the Steklov Eigenvalues For the p−Laplace Operator

Juan Pablo Pinasco

doi:10.1515/ans-2007-0301

Publicly Available Published by De Gruyter March 10, 2016

Asymptotic Behavior of the Steklov Eigenvalues For the p−Laplace Operator

Juan Pablo Pinasco

From the journal Advanced Nonlinear Studies

https://doi.org/10.1515/ans-2007-0301

Abstract

In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p- Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues less than or equal to λ, and we derive from them asymptotic bounds for the eigenvalues.

Keywords: p-laplacian; asymptotic of eigenvalues; Steklov

Published Online: 2016-03-10

Published in Print: 2007-08-01

Asymptotic Behavior of the Steklov Eigenvalues For the p−Laplace Operator

Abstract

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