Three solutions for a nonlocal fractional p-Kirchhoff type elliptic system

Abstract

In this paper, we study the existence of three weak solutions for a Kirchhoff-type elliptic system involving nonlocal fractional p-Laplacian with homogeneous Dirichlet boundary conditions. The approach is based on the three critical points theorem and some variational methods.

Keywords:

• Fractional p-Laplacian
• fractional Sobolev spaces
• nonlocal elliptic system
• three critical points theorem

2010 Mathematics Subject Classifications:

• Primary: 35J50
• Secondary: 35R11
• 35S05

Disclosure statement

No potential conflict of interest was reported by the authors.