Abstract In this paper we study existence, uniqueness, nonexistence and asymptotic behavior of solutions to the following class of elliptic problems with strongly singular nonlinearities aligned \ aligned -& u -1{2 (x u) = u + h (x) u^- in R^N, \\ u&>0 in R^N, \ \ u (x) 0 as |x|, aligned. aligned - Δ u - 1 2 x · ∇ u = λ u + h (x) u - α in R N, u > 0 in R N, u (x) → 0 as | x | → ∞, where N 3, N ≥ 3, R λ ∈ R and >1 α > 1 is a real parameter and h: RN R h
Santos et al. (Tue,) studied this question.