Eigenvalue problems for a class of singular quasilinear elliptic equations in weighted spaces

Abstract

In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces. The existence of weak solutions is obtained for this problem.

Keywords

• weighted sobolev space
• singular quasilinear elliptic equation
• eigenvalue