Infinitely many solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions

Abstract

In this article we will provide new multiplicity results of the solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. We investigate the existence of infinitely many solutions for perturbed nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. The approach is based on variational methods and critical point theory.

Keywords

• Infinitely many solutions
• Variable exponent Sobolev spaces
• $p(x)$-Laplacian
• Nonhomogeneous neumann condition
• Variational methods
• Critical point theory