Hardy-Sobolev type equations for p-laplacian, 1 < p < 2, in bounded domain

Abstract

We study quasilinear degenerate singular elliptic equations of the type {equation presented} in a smooth bounded domain Ω in RN = Rk × RN-k, x = (y, z) ∈ Rk × RN-k, 2 ≤ k < N and N ≥ 3, 1 < p < 2, 0 < s < s, non-existence in a star-shaped domain for t = s and s < α < 1 provided t