Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term

Abstract

In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

Keywords

• fractional Laplacian system
• Nehari manifold
• critical Sobolev-Hardy exponent
• homogeneous term