Nonlinear scalar field equations in ℝN

Mountain pass and symmetric mountain pass approaches

Jun Hirata, Norihisa Ikoma, Kazunaga Tanaka

    研究成果: Article

    48 引用 (Scopus)

    抄録

    We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN : -Δu = g(u) in ℝN', u ∈ H1 (ℝN). We give an extension of the existence results due to H. Berestycki, T. GaIloüe't and O. Kavian [2]. We take a mountain pass approach in H1(ℝ N) and introduce a new method generating a Palais-Smale sequence with an additional property related to Pohozaev identity.

    元の言語English
    ページ(範囲)253-276
    ページ数24
    ジャーナルTopological Methods in Nonlinear Analysis
    35
    発行部数2
    出版物ステータスPublished - 2010

    Fingerprint

    Pohozaev Identity
    Mountain Pass
    Radially Symmetric Solutions
    Scalar Field
    Existence Results

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    これを引用

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