Existence of solutions for a nonlocal (P_1(x), P_2(x))-Laplace equation with dependence on the gradient

Abstract

The object of this work is to study the existence of solutions for a nonlocal (p₁(x), p₂(x)) Laplace equation with dependence on the gradient. We establish our results by using the degree theory for operators of (S₊) type in the framework of variable exponent Sobolev spaces.