Multiple Solutions for a Nonlocal Elliptic Problem Involving p x , q x -Biharmonic Operator

Abstract

In this paper, using the variational principle, the existence and multiplicity of solutions for $\left(p\left(x\right),q\left(x\right)\right)$ -Kirchhoff type problem with Navier boundary conditions are proved. At the same time, the sufficient conditions for the multiplicity of solutions are obtained.