Ground state solutions for Choquard type equations with a singular potential
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This 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.
CitationWang, T. (2017). Ground state solutions for Choquard type equations with a singular potential. Electronic Journal of Differential Equations, 2017(52), pp. 1-14.
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