Eigenvalue Problem For Perturbated p-Laplacian, By Mohsen Alimohammady

Research

Title	Eigenvalue Problem For Perturbated p-Laplacian
Type	Article
Keywords	eigenvalue; p-Laplacian; Ljusternik-Schnirelman principle
Journal	Thai Journal of Mathematics
DOI	—
Researchers	Mehdi Latifi (First researcher) , Mohsen Alimohammady (Second researcher)

Abstract

We want to study the nonlinear eigenvalue problem, for perturbated p-Laplacian operator with zero Dirichlet condition on a bounded region in RN. 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.