Multiple nodal solutions for quasilinear elliptic problems involving Hardy–Sobolev critical exponents in symmetric domain

In this paper we obtain the existence of multiple nodal solutions for quasilinear elliptic equation with Hardy–Sobolev critical exponents of the type P0 λ − pu = λ|u|q−2u+ |u|p∗(s)−2 |x|s u, x ∈ Ω, u = 0, x∈ ∂Ω, where Ω is a bounded domain with smooth boundary in RN and contains 0 in its interior, − pu = −div(|∇u|p−2∇u), 1 < p