EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

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In this article, the authors consider the existence of a nontrivial solution for the following equation:-△u + 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.
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