Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms

Abstract

In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions to the system. Mathematics subject classification (2010): 35B33, 35J60, 35J65.