Periodic solutions for a class of first order super-quadratic Hamiltonian system
文献类型:期刊论文
作者 | Mao, Anmin; Luan, Shixia; Ding, Yanheng |
刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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出版日期 | 2007-06-01 |
卷号 | 330期号:1页码:584-596 |
关键词 | infinite dimensional Hamiltonian system periodic solution variational method local linking |
ISSN号 | 0022-247X |
DOI | 10.1016/j.jmaa.2006.08.003 |
英文摘要 | Based on a developed local linking theorem, by replacing the Palais-Smale condition with a Cerami one, we consider the following unbounded Hamiltonian system: {partial derivative(t)u - Delta(x)u + V(x)u = H-v (t, x, u, v), for (t, x) is an element of R x Omega, {-partial derivative(t)v - Delta(x)v + V (x) v = H-u (t, x, u, v) where Omega subset of R-N, N >= 1, is a bounded domain with smooth boundary partial derivative Omega. The nonlinearities are assumed to be super-quadratic at the infinite, which are different from those investigated previously. (c) 2006 Elsevier Inc. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000247015800043 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3983] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Mao, Anmin |
作者单位 | 1.Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Mao, Anmin,Luan, Shixia,Ding, Yanheng. Periodic solutions for a class of first order super-quadratic Hamiltonian system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,330(1):584-596. |
APA | Mao, Anmin,Luan, Shixia,&Ding, Yanheng.(2007).Periodic solutions for a class of first order super-quadratic Hamiltonian system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,330(1),584-596. |
MLA | Mao, Anmin,et al."Periodic solutions for a class of first order super-quadratic Hamiltonian system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330.1(2007):584-596. |
入库方式: OAI收割
来源:数学与系统科学研究院
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