Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation

In this paper, we consider the singular quasilinear elliptic equation equation(0.1)−div(|x|−ap|Du|p−2Du)+V(x)|u|p−2u=h(x)|u|q−2u+λH(x)|u|r−2u,x∈RN∖{0}, where λ>0,−∞