Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator

Abstract

The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.

Keywords

• Variational method
• Mountain pass theorem
• p(x)-Biharmonic Operator
• Kirchho type equation
• Nonlocal problem
• Navier boundary conditions
• generalized Lebesgue-Sobolev spaces