Existence of optical vortices in R-2

doi:10.1016/j.nonrwa.2019.04.016

CSpace > 应用数学研究所

	Existence of optical vortices in R-2
	Guo, Qing 1; Cao, Daomin2,3 ; Li, Hang 2,3
	2019-12-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	50 页码:67-85
摘要	Optical vortices are phase singularities nested in electromagnetic waves which constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and Bose-Einstein condensates. The present paper is concerned with the existence of stationary optical vortices wave solutions of nonlinear Schrodinger equations in R-2. For the self-focusing case, we consider three types of problems. The first type concerns the existence of positive radial solutions obtained by a constrained minimization approach. The second type addresses the existence of saddle-point solutions through a mini-max method. As to the third type, we use the variational argument and Nehari manifold to establish nodal solutions. On the other hand, for the defocusing case, we also prove the existence of solutions by constructing approximate sequences of solutions to overcome the loss of compactness. Moreover, in both cases, some non-existence results are discussed as well. (C) 2019 Elsevier Ltd. All rights reserved.
关键词	Optical vortices Variational methods Concentration compactness Nodal solutions
DOI	10.1016/j.nonrwa.2019.04.016
语种	英语
资助项目	NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000477783900006
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35234
专题	应用数学研究所
通讯作者	Li, Hang
作者单位	1.Minzu Univ China, Coll Sci, Beijing, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Guo, Qing,Cao, Daomin,Li, Hang. Existence of optical vortices in R-2[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2019,50:67-85.
APA	Guo, Qing,Cao, Daomin,&Li, Hang.(2019).Existence of optical vortices in R-2.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,50,67-85.
MLA	Guo, Qing,et al."Existence of optical vortices in R-2".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 50(2019):67-85.