ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n

doi:10.3934/dcds.2021030

CSpace

	ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n
	Ding, Yanheng 1,2; Dong, Xiaojing 1,2; Guo, Qi 1,2
	2021-09-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	41 期号:9 页码:4105-4123
摘要	In this paper, we study multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension n: -ih Sigma(n)(k=1) alpha(k)partial derivative(k)u + a beta u + V (x)u = f (x, vertical bar u vertical bar)u, in R-n, where n >= 2, h > 0 is a small parameter, a > 0 is a constant, and f describes the self-interaction which is either subcritical: W (x)vertical bar u vertical bar(p-2), or critical: W-1(x)vertical bar u vertical bar(p-2) + W-2(x)vertical bar u vertical bar(2)(-2), with p is an element of (2, 2), 2* = 2n/n-1. The number of solutions obtained depending on the ratio of min V and lim inf(vertical bar x vertical bar -> infinity) V (x), as well as max W and lim sup(vertical bar x vertical bar -> infinity) W (x) for the subcritical case and max W-j and lim sup(vertical bar x vertical bar -> infinity) W-j (x), j = 1, 2, for the critical case.
关键词	Nonlinear Dirac equation Semi-classical solutions Multiplicity Variational methods subcritical and critical nonlinearity
DOI	10.3934/dcds.2021030
收录类别	SCI
语种	英语
资助项目	NSFC[11871242] ; NSFC[11801545]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000724075900003
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59662
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Yanheng
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Dong, Xiaojing,Guo, Qi. ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2021,41(9):4105-4123.
APA	Ding, Yanheng,Dong, Xiaojing,&Guo, Qi.(2021).ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,41(9),4105-4123.
MLA	Ding, Yanheng,et al."ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 41.9(2021):4105-4123.