The Nehari manifold for a degenerate elliptic equation involving a sign-changing weight function

This paper is concerned with a degenerate elliptic equation of the form {−div(|x|−2a∇u)=|x|−2b|u|p−1u+λf(x)|x|−2c|u|q−1uinΩ,u=0on∂Ω, where Ω⊂RN(N≥3)Ω⊂RN(N≥3) is an open bounded domain with smooth boundary, 0∈Ω0∈Ω, 0