Multiple Solutions for Elliptic p x , q x -Kirchhoff-Type Potential Systems in Unbounded Domains

Abstract

In this paper, we establish the existence of at least three weak solutions for a parametric double eigenvalue quasi-linear elliptic $\left(p\left(x\right),q\left(x\right)\right)$-Kirchhoff-type potential system. Our approach is based on a variational method, and a three critical point theorem is obtained by Bonano and Marano.