EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM
文献类型：期刊论文
| 作者 | Zeng, Xiaoyu; Zhang, Yimin; Zhou, Huansong |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2015 |
| 卷号 | 35期号:1页码:45-70 |
| 关键词 | nonlinear Schrodinger system constrained variational problem standing waves orbital stubility |
| 英文摘要 | We study the existence and stability of the standing waves of two coupled Schrodinger equations with potentials vertical bar x vertical bar(bi) (b(i) is an element of R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first establish the existence of standing waves of the Schrodinger system by solving a L-2-normalized minimization problem, then prove that the set of all minimizers of this minimization problem is stable. Finally, we obtain the least energy solutions by the Nehari method and prove that the orbit sets of these least energy solutions are unstable, which generalizes the results of [11] where b(1) = b(2) = 2. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | CONCENTRATION-COMPACTNESS PRINCIPLE ; SOLITARY WAVES ; ORBITAL STABILITY ; GROUND-STATE ; R-N ; EQUATIONS ; INSTABILITY ; CALCULUS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000348487700002 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1519]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, Xiaoyu,Zhang, Yimin,Zhou, Huansong. EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM[J]. ACTA MATHEMATICA SCIENTIA,2015,35(1):45-70. |
| APA | Zeng, Xiaoyu,Zhang, Yimin,&Zhou, Huansong.(2015).EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM.ACTA MATHEMATICA SCIENTIA,35(1),45-70. |
| MLA | Zeng, Xiaoyu,et al."EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM".ACTA MATHEMATICA SCIENTIA 35.1(2015):45-70. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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