Existence and uniqueness of ground states for [formula omitted]-Choquard model.

Abstract We study the p -Choquard equation in R n , n ≥ 3 and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniqueness of ground states, we use the radial symmetry to transform the equation into an ordinary differential system, and applying the Pohozaev identities and Gronwall lemma we show that any two Weinstein minimizers satisfying the p -Choquard equation coincide. [ABSTRACT FROM AUTHOR]