A positive solution for a nonlinear schrödinger equation on ℝN

Louis Jeanjean, Kazunaga Tanaka

    Research output: Contribution to journalArticle

    106 Citations (Scopus)

    Abstract

    We prove the existence of a positive solution for a class of equations of the form -Δu + V(x)u = f(u), u ε H1 (ℝN). On the nonlinearity f, only conditions around 0 and at ∞ are required.

    Original languageEnglish
    Pages (from-to)443-464
    Number of pages22
    JournalIndiana University Mathematics Journal
    Volume54
    Issue number2
    DOIs
    Publication statusPublished - 2005

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    Keywords

    • Bounded ps sequences
    • Nonlinear elliptic equations
    • Variational methods

    ASJC Scopus subject areas

    • Mathematics(all)

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