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POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS

文献类型：期刊论文

作者Chen, Yu2; Ding, Yanheng1; Xu, Tian3
刊名COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
出版日期2020
卷号19期号:1页码:587-607
ISSN号1534-0392
关键词Dirac equations semi-classical states multiplicity
DOI10.3934/cpaa.2020028
英文摘要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.
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
语种英语
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号WOS:000475504300028
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35069]  
专题数学所
通讯作者Chen, Yu
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
2.Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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