Normalized solutions to the Chern-Simons-Schrodinger system

doi:10.1016/j.jfa.2020.108894

CSpace

	Normalized solutions to the Chern-Simons-Schrodinger system
	Gou, Tianxiang 1; Zhang, Zhitao 1,2
	2021-03-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	280 期号:5 页码:65
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.
关键词	Chern-Simons-Schrodinger system Normalized solutions Standing waves Orbital instability
DOI	10.1016/j.jfa.2020.108894
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000599956400007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57826
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.