Infinitely many segregated vector solutions of Schrodinger system

Ohsang Kwon, Min Gi Lee, Youngae Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider the following system of Schrödinger equations {−ΔU+λU=α0U3+βUV2−ΔV+μ(y)V=α1V3+βU2VinRN,N=2,3, where λ, α0, α1>0 are positive constants, β∈R is the coupling constant, and μ:RN→R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear.

Original languageEnglish
Article number126094
JournalJournal of Mathematical Analysis and Applications
Volume512
Issue number2
DOIs
StatePublished - 15 Aug 2022

Keywords

  • Coupled Schrodinger system
  • Distribution of bump
  • Energy expansion
  • Segregation
  • Vector solution

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