On G-symmetric solutions of a quasilinear elliptic equation involving critical Hardy–Sobolev exponent

This paper deals with the class of singular quasilinear elliptic problem−Δpu=μ|u|p−2u|x|p+k(x)|u|p⁎(s)−2u|x|s+λf(x,u)in Ω,u=0on ∂Ω, where Ω⊂RNΩ⊂RN is a smooth bounded domain, and Ω is G-symmetric with respect to a subgroup G   of O(N)O(N), 0∈Ω0∈Ω, 1