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 | |
| Publication status | Published - 2014 Oct 15 |
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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 journal › Article
TY - JOUR
T1 - Semiclassical limits of ground state solutions to Schrödinger systems
AU - Ding, Yanheng
AU - Lee, Cheng
AU - Zhao, Fukun
PY - 2014/10/15
Y1 - 2014/10/15
N2 - 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.).
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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UR - http://www.scopus.com/inward/citedby.url?scp=84919481840&partnerID=8YFLogxK
U2 - 10.1007/s00526-013-0693-6
DO - 10.1007/s00526-013-0693-6
M3 - Article
VL - 51
SP - 725
EP - 760
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 3-4
ER -