On a Class of Nonlocal p(x)-Laplacian Neumann Problems

Mostafa Allaoui, Abdelrachid El Amrouss, Anass Ourraoui

Abstract

This paper is aiming at obtaining weak solutions for a kirchhoff problem involving p(x)-Laplacian operator. The notion of Sobolev space with a variable exponent with combined conditions of nonlinearities lead us to generalize the case of $p-$kirchhoff problem where $p$ is constant.