The concentration behavior of ground state solutions for nonlinear Dirac equation
文献类型：期刊论文
| 作者 | Ding, Yanheng2; Yu, Yuanyang1,2 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2020-06-01 |
| 卷号 | 195页码:24 |
| 关键词 | Nonlinear Dirac equation Ground state solutions Concentration |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2019.111738 |
| 英文摘要 | In this paper, we study the following nonlinear Dirac equation -i epsilon Sigma(3)(k=1) alpha(k)partial derivative(k)u + alpha beta u + V(x)u =K(x)f(vertical bar u vertical bar)u, in R-3, where epsilon > 0 is a small parameter, a > 0 is a constant, alpha(1), alpha(2), alpha(3) and beta are 4 x 4 Pauli-Dirac matrices, V, K and f are continuous but are not necessarily of class C-1. We prove the existence of ground state solution by using variational methods, and we determine a concrete set related to the potentials V and K as the concentration position of these ground state solutions as epsilon -> 0. Moreover, we consider some properties of these ground state solutions, such as convergence and exponential decay estimate. The result presented in this paper generalizes the result in Ding and Liu (2012). (C) 2019 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Science Foundation of China[NSFC11871242] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000522150400039 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50998]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, Yuanyang |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Yu, Yuanyang. The concentration behavior of ground state solutions for nonlinear Dirac equation[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2020,195:24. |
| APA | Ding, Yanheng,&Yu, Yuanyang.(2020).The concentration behavior of ground state solutions for nonlinear Dirac equation.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,195,24. |
| MLA | Ding, Yanheng,et al."The concentration behavior of ground state solutions for nonlinear Dirac equation".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 195(2020):24. |
入库方式： OAI收割
来源：数学与系统科学研究院
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