Remarks on the clark theorem

Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang

    Research output: Contribution to journalArticle

    Abstract

    The Clark theorem is important in critical point theory. For a class of even functionals it ensures the existence of infinitely many negative critical values converging to 0 and it has important applications to sublinear elliptic problems. We study the convergence of the corresponding critical points and we give a characterization of accumulation points of critical points together with examples, in which critical points with negative critical values converges to nonzero critical point. Our results improve the abstract results in Kajikiya [4] and Liu-Wang [7].

    Original languageEnglish
    Pages (from-to)1421-1434
    Number of pages14
    JournalJournal of Nonlinear and Convex Analysis
    Volume18
    Issue number8
    Publication statusPublished - 2017

    Fingerprint

    Critical point
    Theorem
    Critical value
    Accumulation point
    Critical Point Theory
    Elliptic Problems
    Converge

    Keywords

    • Clark theorem
    • Genus
    • Minimax method

    ASJC Scopus subject areas

    • Analysis
    • Geometry and Topology
    • Control and Optimization
    • Applied Mathematics

    Cite this

    Remarks on the clark theorem. / Jiang, Guosheng; Tanaka, Kazunaga; Zhang, Chengxiang.

    In: Journal of Nonlinear and Convex Analysis, Vol. 18, No. 8, 2017, p. 1421-1434.

    Research output: Contribution to journalArticle

    Jiang, G, Tanaka, K & Zhang, C 2017, 'Remarks on the clark theorem', Journal of Nonlinear and Convex Analysis, vol. 18, no. 8, pp. 1421-1434.
    Jiang, Guosheng ; Tanaka, Kazunaga ; Zhang, Chengxiang. / Remarks on the clark theorem. In: Journal of Nonlinear and Convex Analysis. 2017 ; Vol. 18, No. 8. pp. 1421-1434.
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