Existence and multiplicity results for a singular fourth-order elliptic system involving critical homogeneous nonlinearities

Abstract

This paper deals with a singular fourth-order elliptic system involving critical homogeneous nonlinearities. The existence and multiplicity results of group invariant solutions are established by variational methods and the Hardy-Rellich inequality.

Keywords

• hardy-rellich inequality
• group invariant solution
• variational methods
• fourth-order elliptic system