Existence and uniqueness of solutions for a singular semilinear elliptic system

In this paper, we study the existence and the uniqueness of solutions for the singular semilinear elliptic system: {−Δu+f(x)u2=g(x)u+1−p2−p−qa(x)|u|−p|v|1−q,x∈RN,−Δv+f(x)v2=g(x)v+1−q2−p−qa(x)|u|1−p|v|−q,x∈RN, where 0