Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems

This paper deals with the weighted critical quasilinear problem-div|∇u|p-2∇u|x|ap=μ|u|p-2u|x|p(a+1)+Q(x)|u|p∗(a,b)-2u|x|bp∗(a,b)+h(x,u)inΩ,u=0on∂Ω,where Ω⊂RN is a smooth bounded domain, 0∈Ω and Ω is G-symmetric with respect to a subgroup G of O(N),1