Multi-bump solutions for logarithmic Schrödinger equations

Kazunaga Tanaka*, Chengxiang Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2017 Apr 1


  • 35J20
  • 35Q40
  • 35Q55

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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