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| 摘要: |
| 本文研究了带超线性非线性项的陈-西蒙斯-薛定谔方程组.利用集中紧致原理和Nehari流形，证明了该方程组基态解的存在性，得到了该基态解在无穷远处是指数衰减的. |
| 关键词: 基态解 陈-西蒙斯-薛定谔方程组 变分法 Nehari流形 集中紧致原理 |
| DOI： |
| 分类号:O175.25 |
| 基金项目:Supported by the Scientific Research Fund of Hubei Provincial Education Department (B2016299). |
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| THE GROUND STATE OF THE CHERN-SIMONS-SCHRÖDINGER SYSTEM |
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YU Chun,WAN You-yan
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| Abstract: |
| We study the nonlinear Chern-Simons-Schrödinger system with superlinear nonlinearities. By the concentration compactness principle combined with the Nehari manifold, we prove the existence of positive ground state to this problem. Moreover, we obtain that the ground state has exponential decay at inflnity. |
| Key words: the ground state the Chern-Simons-Schrödinger system the variational method the Nehari manifold the concentration compactness principle |
