Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms

Abstract

This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms. Using the effect of the coefficient of the critical nonlinearity, and a variational method, we establish the main result which is based on a compactness argument.

Keywords

• Ekeland variational principle
• critical Hardy-Sobolev exponent
• concentration-compactness principle