arXiv:1803.03492 Abstract | arXiv Analytics

arXiv:1803.03492 [math.AP]Abstract References Reviews Resources

Existence and uniqueness of ground states for $p$ - Choquard model in 3D

Vladimir Georgiev, Mirko Tarulli, George Venkov

Published 2018-03-09Version 1

We study the $p$-Choquard equation in 3-dimensional case 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 coincide.

Comments: 13

Categories: math.AP

Subjects: 35Q51, 35Q40, 35Q55, 49S05

Keywords: ground states, choquard model, uniqueness, weinstein minimizers coincide, ordinary differential system

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