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.

    Original languageEnglish
    Pages (from-to)131-145
    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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