In this paper, we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy-Sobolev-Maz’ya term: $ - \Delta u - \lambda \frac{u}{{|y|^2 }} = \frac{{|u|^{p_t - 1} u}}{{|y|^t }} + \mu f(x),x \in \Omega ,$ where Ω is a bounded domain in ℝN (N ≥ 2), 0 ∈ Ω, x = (y, z) ∈ ℝk × ℝN-k and $p_t = \frac{{N + 2 - 2t}}{{N - 2}}(0 \leqslant t \leqslant 2)$ For f(x) ∈ C1($\bar \Omega $){0}, we show that there exists a constant μ* > 0 such that the problem possesses at least two positive solutions ...
