Existence of positive solutions for a class of nonhomogeneous elliptic equations in RN

Shinji Adachi, Kazunaga Tanaka

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    The existence of positive solutions for a class of nonhomogeneous elliptic equations in RN was analyzed. The mountain pass minimax value was strictly less than the first level of the break down of (PS)c-condition for I(u). Through the Mountain Pass Theorem, a critical point was obtained which was a positive solution of the nonhomogeneous elliptic equation.

    Original languageEnglish
    Pages (from-to)685-705
    Number of pages21
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume48
    Issue number5
    DOIs
    Publication statusPublished - 2002 Feb

    Fingerprint

    Existence of Positive Solutions
    Elliptic Equations
    Mountain Pass
    Mountain Pass Theorem
    Minimax
    Breakdown
    Positive Solution
    Critical point
    Strictly
    Class

    Keywords

    • Concentration-compactness principle
    • Positive solutions
    • Semilinear elliptic equations
    • Variational methods

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    Cite this

    Existence of positive solutions for a class of nonhomogeneous elliptic equations in RN . / Adachi, Shinji; Tanaka, Kazunaga.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 48, No. 5, 02.2002, p. 685-705.

    Research output: Contribution to journalArticle

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