Multiple solutions for a class of nonlinear Schrodinger equations
文献类型：期刊论文
| 作者 | Ding, YH ; Luan, SX
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2004-12-15 |
| 卷号 | 207期号:2页码:423-457 |
| 关键词 | Schrodinger equation multibump solution critical points |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2004.07.030 |
| 英文摘要 | In this paper, we find new conditions to ensure the existence of infinitely many homoclinic type solutions for the Schrodinger equation -Deltau + V(x)u = g(x, u) for x is an element of R-N. Assuming V(x) and g(x, it) depend periodically on x, we deal with the situations where g(x, u) is, as \u\ --> infinity, asymptotically linear, or superlinear with certain hypothesis different from ones used in previous related study. Our approach is variational and we use the Cerami condition instead of the Palais-Smale one for deformation arguments. (C) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225508300008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19298]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, YH |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, YH,Luan, SX. Multiple solutions for a class of nonlinear Schrodinger equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2004,207(2):423-457. |
| APA | Ding, YH,&Luan, SX.(2004).Multiple solutions for a class of nonlinear Schrodinger equations.JOURNAL OF DIFFERENTIAL EQUATIONS,207(2),423-457. |
| MLA | Ding, YH,et al."Multiple solutions for a class of nonlinear Schrodinger equations".JOURNAL OF DIFFERENTIAL EQUATIONS 207.2(2004):423-457. |
入库方式： OAI收割
来源：数学与系统科学研究院
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