Eigenvalue Problem For Perturbated p-Laplacian

Mehdi Latifi, Mohsen Alimohammady

Abstract

We want to study the nonlinear eigenvalue problem, for perturbated p-Laplacian operator with zero Dirichlet condition on a bounded region in $\mathbb{R}^N$. Using the Ljusternik-Schnirelman principle we show that the existence of a nondecreasing sequence of nonnegative eigenvalues and a sequence of eigenfunction that weakly convergences to zero function.