On the Dirichlet Problem for some Nonlinear Degenerated Elliptic Equations with Weight

Abstract

We will be concerned with the existence result of a class of nonlinear degenerate elliptic equations of the form (1) by adopting Sobolev spaces with weight $W_0^{1,p}\left({{{\Omega }},{\omega _1}}\right)$. We prove that there exists a unique solution for any L1-data.