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 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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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