POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS

doi:10.3934/cpaa.2020028

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	POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS
	Chen, Yu 1; Ding, Yanheng2 ; Xu, Tian 3
	2020
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	19 期号:1 页码:587-607
摘要	In this paper we consider the semi-classical solutions of a massive Dirac equations in presence of a critical growth nonlinearity -i (h) over bar Sigma(3)(k=1) alpha(k )partial derivative(k)w + alpha beta w + V(x)w = f(vertical bar w vertical bar)w. Under a local condition imposed on the potential V, we relate the number of solutions with the topology of the set where the potential attains its minimum. In the proofs we apply variational methods, penalization techniques and Ljusternik-Schnirelmann theory.
关键词	Dirac equations semi-classical states multiplicity
DOI	10.3934/cpaa.2020028
语种	英语
资助项目	National Science Foundation of China[NSFC11331010] ; National Science Foundation of China[11171286] ; National Science Foundation of China[11601370] ; National Science Foundation of China[11771325] ; Postdoctoral Science Foundation of China[2018M631369] ; Beijing Center for Mathematics and Information Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000475504300028
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/35070
专题	数学所
通讯作者	Chen, Yu
作者单位	1.Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yu,Ding, Yanheng,Xu, Tian. POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2020,19(1):587-607.
APA	Chen, Yu,Ding, Yanheng,&Xu, Tian.(2020).POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,19(1),587-607.
MLA	Chen, Yu,et al."POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 19.1(2020):587-607.