Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem

Abstract

In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.

Keywords

• critical point theorem
• fractional p(x, y)-laplacian
• fractional sobolev space
• variable exponents
• variational methods
• 35j65
• 35j60
• 47j30
• 58e05