Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
文献类型：期刊论文
| 作者 | Ding, Yanheng1,2
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 249期号:5页码:1015-1034 |
| 关键词 | Nonlinear Dirac equation Semi-classical states Concentration |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2010.03.022 |
| 英文摘要 | We study the semi-classical limit of the least energy solutions to the nonlinear Dirac equation -i epsilon Sigma(3)(k=1)alpha(k)partial derivative(k) + a beta u = P(x)vertical bar u vertical bar(p-2)u for x is an element of R-3. Since the Dirac operator is unbounded from below and above, the associate energy functional is strongly indefinite, and since the problem is considered in the global space R-3, the Palais-Smale condition is not satisfied. New phenomena and mathematical interests arise in the use of the calculus of variations. We prove that the equation has the least energy solutions for all epsilon > 0 small, and additionally these solutions converge to the least energy solutions of the associate limit problem and concentrate to the maxima of the nonlinear potential P(x) in certain sense as epsilon -> 0. (C) 2010 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000279292300001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10076]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, Yanheng |
| 作者单位 | 1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng. Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(5):1015-1034. |
| APA | Ding, Yanheng.(2010).Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation.JOURNAL OF DIFFERENTIAL EQUATIONS,249(5),1015-1034. |
| MLA | Ding, Yanheng."Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation".JOURNAL OF DIFFERENTIAL EQUATIONS 249.5(2010):1015-1034. |
入库方式： OAI收割
来源：数学与系统科学研究院
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