Existence results of infinitely many solutions for p(x)-Kirchhoff type triharmonic operator with Navier boundary conditions

Abstract

Listen

Translate article

This paper is concerned with the existence of weak solutions to a class of nonlinear elliptic Navier boundary value problem involving the p(x)-Kirchhoff type triharmonic operator. By means of a variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence of weak solutions for the problem.