Multi-bump solutions for logarithmic Schrödinger equations

Kazunaga Tanaka, Chengxiang Zhang

Research output: Contribution to journalArticlepeer-review

18 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

Keywords

  • 35J20
  • 35Q40
  • 35Q55

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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