Eigenvalue problem for the weighted p-Laplacian
Ewa Szlachtowska, Dominik Mielczarek · Tatra Mountains Mathematical Publications · 2015
Abstract In this paper we are concerned with the nonlinear eigenvalue problem for the weighted p-Laplacian. The main result of the work is the existence of the eigenpair for the Dirichlet problem provided that the weights are bounded. Furthermore, under this assumption the eigenvector belongs to the Sobolev space W1,p0 (Ω).