Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy–Sobolev exponents

This paper deals with the singular semilinear elliptic problem −div(|x|−2a∇u)=μu|x|2(1+a)+Q(x)|u|p−2u|x|bp+σh(x,u)inΩ,u=0on∂Ω, where Ω⊂RN(N≥3)Ω⊂RN(N≥3) is a smooth bounded domain, 0∈Ω0∈Ω and ΩΩ is GG-symmetric with respect to a subgroup GG of O(N)O(N), 0≤a