Existence of optical vortices in R-2

doi:10.1016/j.nonrwa.2019.04.016

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Existence of optical vortices in R-2
	Guo, Qing 2; Cao, Daomin1,3 ; Li, Hang 1,3
刊名	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
	2019-12-01
卷号	50 页码:67-85
关键词	Optical vortices Variational methods Concentration compactness Nodal solutions
ISSN号	1468-1218
DOI	10.1016/j.nonrwa.2019.04.016
英文摘要	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.
资助项目	NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000477783900006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35233]
专题	应用数学研究所
通讯作者	Li, Hang
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Minzu Univ China, Coll Sci, Beijing, 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.