Existence of multiple solutions for singular quasilinear elliptic system with critical sobolev-hardy exponents and concave-convex terms

The main purpose of this paper is to establish the existence of multiple solutions for singular elliptic system involving the critical Sobolev-Hardy exponents and concave-convex nonlinearities. It is shown, by means of variational methods, that under certain conditions, the system has at least two positive solutions.