In this article, the authors consider the existence of a nontrivial solution for the following equation: - Δ u + u = q (x) (| u |*frac(, 1,, | x |,)) u, x ∈ ℝ, where q(x) satisfies some conditions. Using a Min-Max method, the authors prove that there is at least one nontrivial solution for the above equation. © 2006 Wuhan...