A perturbed elliptic problem involving the p(x)-Kirchhoff type triharmonic operator

This paper examines the existence of weak solutions for a nonlinear boundary value problem of p(x)-Kirchhoff type involving the p(x)-Kirchhoff type triharmonic operator and perturbed external source terms. We establish our results by using a Fredholm-type result for a couple of nonlinear operators, in the framework of variable exponent Sobolev spaces