Existence of semiclassical solutions for some critical Dirac equation
文献类型：期刊论文
| 作者 | Ding, Yanheng1,2; Guo, Qi1,2; Yu, Yuanyang1,2 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2021 |
| 卷号 | 62期号:1页码:22 |
| ISSN号 | 0022-2488 |
| DOI | 10.1063/5.0024707 |
| 英文摘要 | In this paper, we study the following critical Dirac equation -i epsilon Sigma k=13 alpha k partial derivative ku+a beta u+V(x)u=P(x)f(|u|)u+Q(x)|u|u, x is an element of R3, where > 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; and V, P, Q, and f are continuous but are not necessarily of class C1. We prove the existence and concentration of semiclassical solutions under suitable assumptions on the potentials V(x), P(x), and Q(x) by using variational methods. We also show the semiclassical solutions omega with maximum points x of |omega | concentrating at a special set HP characterized by V(x), P(x), and Q(x) and for any sequence x epsilon -> x0 is an element of HP,v epsilon (x):omega epsilon(epsilon x+x epsilon) converges in W1,q(R3,C4) for q >= 2 to a ground state solution u of -i Sigma k=13 alpha k partial derivative ku+a beta u+V(x0)u=P(x0)f(|u|)u+Q(x0)|u|u,in R3. Finally, we estimate the exponential decay properties of solutions. |
| 资助项目 | National Science Foundation of China[NSFC11871242] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000607170500001 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57994]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, 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,Guo, Qi,Yu, Yuanyang. Existence of semiclassical solutions for some critical Dirac equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2021,62(1):22. |
| APA | Ding, Yanheng,Guo, Qi,&Yu, Yuanyang.(2021).Existence of semiclassical solutions for some critical Dirac equation.JOURNAL OF MATHEMATICAL PHYSICS,62(1),22. |
| MLA | Ding, Yanheng,et al."Existence of semiclassical solutions for some critical Dirac equation".JOURNAL OF MATHEMATICAL PHYSICS 62.1(2021):22. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。