Existence and uniqueness of ground states for p-Choquard model

Vladimir Simeonov Gueorguiev, Mirko Tarulli, George Venkov

    研究成果: Article

    抄録

    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.

    元の言語English
    ページ(範囲)131-145
    ページ数15
    ジャーナルNonlinear Analysis, Theory, Methods and Applications
    179
    DOI
    出版物ステータスPublished - 2019 2 1

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

    Keywords

      ASJC Scopus subject areas

      • Analysis
      • Applied Mathematics

      これを引用

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

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

      研究成果: Article

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