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Normalized solutions to the Chern-Simons-Schrodinger system

文献类型：期刊论文

作者Gou, Tianxiang1; Zhang, Zhitao1,2
刊名JOURNAL OF FUNCTIONAL ANALYSIS
出版日期2021-03-01
卷号280期号:5页码:65
关键词Chern-Simons-Schrodinger system Normalized solutions Standing waves Orbital instability
ISSN号0022-1236
DOI10.1016/j.jfa.2020.108894
英文摘要In this paper, we study normalized solutions to the Chern-Simons-Schrodinger system, which is a gauge-covariant nonlinear Schrodinger system with a long-range electromagnetic field, arising in non-relativistic quantum mechanics theory. The solutions correspond to critical points of the underlying energy functional subject to the L-2-norm constraint. Our research covers several aspects. Firstly, in the mass subcritical case, we establish the compactness of any minimizing sequence to the associated global minimization problem. As a by-product of the compactness of any minimizing sequence, orbital stability of the set of minimizers to the minimization problem is achieved. In addition, we discuss the radial symmetry and uniqueness of minimizer to the minimization problem. Secondly, in the mass critical case, we investigate the existence and nonexistence of normalized solutions. Finally, in the mass supercritical case, we prove the existence of ground state and infinitely many radially symmetric solutions. Moreover, orbital instability of ground states is explored. (C) 2020 Elsevier Inc. All rights reserved.
资助项目National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[11926335] ; National Natural Science Foundation of China[12031015] ; Postdoctoral Science Foundation of China[Y890125G21]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000599956400007
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57825]  
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Zhitao
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, GEMS, HLM, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Gou, Tianxiang,Zhang, Zhitao. Normalized solutions to the Chern-Simons-Schrodinger system[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,280(5):65.
APA Gou, Tianxiang,&Zhang, Zhitao.(2021).Normalized solutions to the Chern-Simons-Schrodinger system.JOURNAL OF FUNCTIONAL ANALYSIS,280(5),65.
MLA Gou, Tianxiang,et al."Normalized solutions to the Chern-Simons-Schrodinger system".JOURNAL OF FUNCTIONAL ANALYSIS 280.5(2021):65.

入库方式： OAI收割

来源：数学与系统科学研究院

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