Multiple solutions for nonlocal elliptic problems driven by p(x)-biharmonic operator

Abstract

In this article, we study the existence of at least three distinct weak solutions for nonlocal elliptic problems involving p(x)-biharmonic operator. The results are obtained by means of variational methods. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.

Keywords

• p(x)-biharmonic operator
• nonlocal elliptic problem
• three solutions
• variational methods