p-Laplace Equations with Multiple Critical Exponents and Singular Cylindrical Potential

In this paper, we deal with the following problem: {−Δp u − λ |y|−p|u|p−2u = |y|−s|u|P*(s)−2u+|u|p*−2u in ℝN, y ≠ 0, u≥ 0, where u(x) = u(y,z) : ℝm × ℝN−m → ℝ, N ≥3,2