Semiclassical limits of ground state solutions to Schrödinger systems

Yanheng Ding; Cheng Lee; Fukun Zhao

doi:10.1007/s00526-013-0693-6

Semiclassical limits of ground state solutions to Schrödinger systems

Yanheng Ding, Cheng Lee, Fukun Zhao

Department of Mathematics

Research output: Contribution to journal › Article

12 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 language	English
Pages (from-to)	725-760
Number of pages	36
Journal	Calculus of Variations and Partial Differential Equations
Volume	51
Issue number	3-4
DOIs	https://doi.org/10.1007/s00526-013-0693-6
Publication status	Published - 2014 Oct 15

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All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

Ding, Y., Lee, C., & Zhao, F. (2014). Semiclassical limits of ground state solutions to Schrödinger systems. Calculus of Variations and Partial Differential Equations, 51(3-4), 725-760. https://doi.org/10.1007/s00526-013-0693-6

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10.1007/s00526-013-0693-6