Existence and uniqueness of ground states for p-Choquard model

Vladimir Georgiev, Mirko Tarulli, George Venkov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)131-145
Number of pages15
JournalNonlinear Analysis, Theory, Methods and Applications
Volume179
DOIs
Publication statusPublished - 2019 Feb

Keywords

  • Ground state
  • Nonlocal nonlinearity
  • p-Choquard equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Existence and uniqueness of ground states for p-Choquard model'. Together they form a unique fingerprint.

Cite this