A Lane-Emden-Fowler type problem with singular nonlinearity

Abstract

The main purpose of this article is to establish the existence result concerning to the problem −Δu(x )+ c(x)u(x )= a(x)f (u(x)), x ∈ R N , N> 2, u(x) → 0a s|x |→∞ . Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.