Multi-bump solutions for logarithmic Schrödinger equations

Kazunaga Tanaka, Chengxiang Zhang

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    We study spatially periodic logarithmic Schrödinger equations: (Formula Presented.), where N ≥ 1 and V(x), Q(x) are spatially 1-periodic functions of class C1. We take an approach using spatially 2L-periodic problems (L≫ 1) and we show the existence of infinitely many multi-bump solutions of (LS) which are distinct under ZN-action.

    Original languageEnglish
    Article number33
    JournalCalculus of Variations and Partial Differential Equations
    Volume56
    Issue number2
    DOIs
    Publication statusPublished - 2017 Apr 1

    Fingerprint

    Logarithmic equation
    Multibump Solutions
    Periodic Problem
    Periodic Functions
    Distinct
    Class

    Keywords

    • 35J20
    • 35Q40
    • 35Q55

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Multi-bump solutions for logarithmic Schrödinger equations. / Tanaka, Kazunaga; Zhang, Chengxiang.

    In: Calculus of Variations and Partial Differential Equations, Vol. 56, No. 2, 33, 01.04.2017.

    Research output: Contribution to journalArticle

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