Existence results for nonlinear anisotropic elliptic unilateral problems

Abstract

In this paper, we study of the anisotropic Sobolev spaces W01,p→(Ω), the existence result of unilateral problem associated to the equations of the form, −∑i=1N∂iai(x,u,∇u)=f, where the right hand side f belongs to L1(Ω). The operator −∑i=1N∂iai(x,u,∇u) is a Leray-Lions operator.