EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION*

In this article, the authors consider the existence of a nontrivial solution for the following equation: -Δu+u=q(x)(|u|2*1|x|)u, x∈ ℝ3, 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.