Existence and multiplicity results for some quasilinear elliptic equation with weights

Using variational methods, we show the existence and multiplicity of solutions of singular boundary value problems of the type{−div(|x|−αA(|∇u|)∇u)=|x|−βf(x,u)in Ω,u=0on ∂Ω, where the numbers α and β, as well as the functions A and f satisfy certain conditions.