ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n
文献类型：期刊论文
| 作者 | Ding, Yanheng1,2; Dong, Xiaojing1,2; Guo, Qi1,2 |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2021-09-01 |
| 卷号 | 41期号:9页码:4105-4123 |
| 关键词 | Nonlinear Dirac equation Semi-classical solutions Multiplicity Variational methods subcritical and critical nonlinearity |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2021030 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11871242] ; NSFC[11801545] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000724075900003 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59661]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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