Multiple positive solutions for nonhomogeneous elliptic equations

S. Adachi, Kazunaga Tanaka

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    The existence of multiple positive solutions for nonhomogeneous elliptic equations was studied. Radially symmetric solutions for a large class of nonlinearities were obtained. It was observed that the forcing term together with interactive estimates was useful for obtaining the Palais-Smale condition.

    Original languageEnglish
    Pages (from-to)3783-3793
    Number of pages11
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume47
    Issue number6
    DOIs
    Publication statusPublished - 2001 Aug

    Fingerprint

    Palais-Smale Condition
    Radially Symmetric Solutions
    Multiple Positive Solutions
    Forcing Term
    Elliptic Equations
    Nonlinearity
    Estimate
    Class

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

    Cite this

    Multiple positive solutions for nonhomogeneous elliptic equations. / Adachi, S.; Tanaka, Kazunaga.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 47, No. 6, 08.2001, p. 3783-3793.

    Research output: Contribution to journalArticle

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    keywords = "Concentration-compactness principle, Positive solutions, Semilinear elliptic equations, Variational methods",
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