Solutions of a system of diffusion equations
文献类型：期刊论文
| 作者 | Ding, Yanheng1 ; Luan, Shixia2; Willem, Michel3
|
| 刊名 | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 2期号:1页码:117-139 |
| 关键词 | Spectrum infinitely many homoclinics asymptotically linear superlinear critical points |
| ISSN号 | 1661-7738 |
| DOI | 10.1007/s11784-007-0023-8 |
| 英文摘要 | We study existence and multiplicity of homoclinic type solutions to the following system of diffusion equations on R x Omega: {partial derivative(t)u - Delta(x)u + b(t, x) . del(x) u + V(x)u = H-v (t, x, u, v), {-partial derivative(t)v - Delta(x)v - b(t, x) . del(x) v + V(x)v = H-u (t, x, u, v), where Omega = R-N or Omega is a smooth bounded domain of R-N, z = (u, v) : R x Omega -> R-m x R-m, and b is an element of C-1 (R x (Omega) over bar, R-N), V is an element of C((Omega) over bar, R), H is an element of C-1 (R x (Omega) over bar x R-2m, R), all three depending periodically on t and x. We assume that H(t, x, 0) 0 and H is asymptotically quadratic or superquadratic as vertical bar z vertical bar -> infinity. The superquadratic condition is more general than the usual one. By establishing a proper variational setting based on some recent critical point theorems we obtain at least one nontrivial solution, and also infinitely many solutions provided H is moreover symmetric in z. |
| 资助项目 | NSFC[10640420049] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000205771800007 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4568]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, Yanheng |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China 3.Catholic Univ Louvain, Dept Math Pures & Appl, B-1348 Louvain, Belgium |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Luan, Shixia,Willem, Michel. Solutions of a system of diffusion equations[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2007,2(1):117-139. |
| APA | Ding, Yanheng,Luan, Shixia,&Willem, Michel.(2007).Solutions of a system of diffusion equations.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2(1),117-139. |
| MLA | Ding, Yanheng,et al."Solutions of a system of diffusion equations".JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 2.1(2007):117-139. |
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。