Semiclassical limits of ground state solutions to Schrödinger systems

Yanheng Ding, Cheng Lee, Fukun Zhao

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This paper is concerned with the existence and concentration properties of the ground state solutions to the following coupled Schrödinger systems (Formula presented.)and (Formula presented.) is a power type nonlinearity, having superquadratic growth at both (Formula presented.) and infinity but subcritical, (Formula presented.) can be sign-changing and (Formula presented.). We prove the existence, exponential decay, (Formula presented.)-convergence and concentration phenomena of the ground state solutions for small (Formula presented.).

Original languageEnglish
Pages (from-to)725-760
Number of pages36
JournalCalculus of Variations and Partial Differential Equations
Issue number3-4
Publication statusPublished - 2014 Oct 15

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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