EXISTENCE OF SOLUTION FOR A DIRICHLET BOUNDARY VALUE PROBLEM INVOLVING THE p(x) LAPLACIAN VIA A FIXED POINT APPROACH

摘要

In this paper, we study the existence of a non-trivial solution in W-0(1,p(x)) (Omega) for the problem {Delta(p( x)) u = f (x, u,del u) in Omega, u = 0 in Omega similar to. The proof is based on Schaefer's fixed point theorem.