SOLUTION FOR STEKLOV BOUNDARY VALUE PROBLEM INVOLVING THE P(X)- LAPLACIAN OPERATORS

Abstract

In this paper, we concerned with Steklov boundary value problem involving - Laplacian operator. By means of the Mountain Pass theorem together with Ambrosetti- Rabinowitz condition, we prove the existence nontrivial weak of solutions in Sobolev spaces with variable exponent under appropriate conditions on f(x,u) .