Existence of solutions for a class of nonlinear degenerate elliptic equations

Abstract

In this paper we prove a existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form where are functions satisfying suitable hypotheses. Here the operator is not uniformly elliptic, but is assume that the following condition is true where is a weight function.

Keywords

• Nonlinear degenerate elliptic equations
• Weighted Sobolev spaces