Solutions of nonlinear Dirac equations
文献类型：期刊论文
| 作者 | Bartsch, Thomas; Ding, Yanheng |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-07-01 |
| 卷号 | 226期号:1页码:210-249 |
| 关键词 | nonlinear Dirac equations variational methods strongly indefinite functionals |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2005.08.014 |
| 英文摘要 | We study the Dirac equation: -i delta(t)psi = ich (3)Sigma(k=1) alpha(k)delta(k)psi - mc(2)beta psi + del(psi)G(x, psi) and obtain existence and multiplicity results of stationary solutions for several classes of nonlinearities G : R-3 x C-4 -> R modeling various types of interaction. A typical result states that if G (x, u) depends periodically on x and is even in u, the problem has infinitely many geometrically different localized solutions. The arguments are variational. The associated Lagrangian functional is strongly indefinite and the Palais-Smale condition does not hold. We apply some recently developed critical point theorems. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238548800009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2979]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bartsch, Thomas |
| 作者单位 | 1.Univ Giessen, Math Inst, D-35392 Giessen, Germany 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bartsch, Thomas,Ding, Yanheng. Solutions of nonlinear Dirac equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,226(1):210-249. |
| APA | Bartsch, Thomas,&Ding, Yanheng.(2006).Solutions of nonlinear Dirac equations.JOURNAL OF DIFFERENTIAL EQUATIONS,226(1),210-249. |
| MLA | Bartsch, Thomas,et al."Solutions of nonlinear Dirac equations".JOURNAL OF DIFFERENTIAL EQUATIONS 226.1(2006):210-249. |
入库方式： OAI收割
来源：数学与系统科学研究院
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