Wang, Tao2022-03-302022-03-302017-02-21Wang, T. (2017). Ground state solutions for Choquard type equations with a singular potential. <i>Electronic Journal of Differential Equations, 2017</i>(52), pp. 1-14.1072-6691https://hdl.handle.net/10877/15578This article concerns the Choquard type equation -∆u + V(x)u = (∫ℝN |u(y)|p/ |x-y|N-α dy) |u|p-2u, x ∈ ℝN, where N ≥ 3, α ∈ ((N - 4)+, N), 2 ≤ p < (N + α)/(N - 2) and V(x) is a possibly singular potential and may be unbounded below. Applying a variant of the Lions' concentration-compactness principle, we prove the existence of ground state solution of the above equations.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalChoquard equationSingular potentialGround state solutionLions' concentration-compactness principleArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.