Existence and uniqueness of ground states for p-Choquard model

Vladimir Simeonov Gueorguiev, Mirko Tarulli, George Venkov

Research output: Contribution to journalArticle

Abstract

We study the p-Choquard equation in Rn, 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.

LanguageEnglish
Pages131-145
Number of pages15
JournalNonlinear Analysis, Theory, Methods and Applications
Volume179
DOIs
Publication statusPublished - 2019 Feb 1

Fingerprint

Ground state
Ground State
Existence and Uniqueness
Crystal symmetry
Pohozaev Identity
Radial Symmetry
Minimizer
Differential System
Lemma
Uniqueness
Model
Transform

Keywords

  • Ground state
  • Nonlocal nonlinearity
  • p-Choquard equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Existence and uniqueness of ground states for p-Choquard model. / Gueorguiev, Vladimir Simeonov; Tarulli, Mirko; Venkov, George.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 179, 01.02.2019, p. 131-145.

Research output: Contribution to journalArticle

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