Existence of nontrivial solutions for singular quasilinear elliptic equations on RNRN

In this paper, we study the existence of weak solutions for the singular quasilinear elliptic problem equation(0.1){−div(|x|−ap|∇u|p−2∇u)+V(x)|u|p−2u=h(x)|u|s−2u±H(x)|u|r−2u,x∈RN,u(x)→0,as|x|→∞, where 1