Semiclassical limits of ground state solutions to Schrödinger systems

Yanheng Ding, Cheng Lee, Fukun Zhao

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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
Volume51
Issue number3-4
DOIs
Publication statusPublished - 2014 Oct 15

Fingerprint

Ground State Solution
Semiclassical Limit
Ground state
Concentration Phenomena
Exponential Decay
Coupled System
Infinity
Nonlinearity

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Semiclassical limits of ground state solutions to Schrödinger systems. / Ding, Yanheng; Lee, Cheng; Zhao, Fukun.

In: Calculus of Variations and Partial Differential Equations, Vol. 51, No. 3-4, 15.10.2014, p. 725-760.

Research output: Contribution to journalArticle

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AB - 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.).

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