Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents
文献类型：期刊论文
| 作者 | Cao, DM ; Han, PG
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2004 |
| 卷号 | 289期号:1页码:200-215 |
| 关键词 | semilinear elliptic systems dual variational functional method (PS)(c) sequence critical point |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2003.09.045 |
| 英文摘要 | In this paper, we study the existence of multiple positive solutions to some Hamiltonian elliptic systems -Deltav = lambdau + u(p) + epsilonf (x), -Deltau = muv + v(q) + deltag(x) in Omega; u, v > 0 in Omega; u = v = 0 on partial derivativeOmega, where Omega is a bounded domain in R-N (N greater than or equal to 3); 0 less than or equal to f, g is an element of L-infinity(Omega); 1/(p + 1) + 1/(q + 1) = (N - 2) /N, p, q > 1; lambda, mu > 0. Using sub- and supersolution method and based on an adaptation of the dual variational approach, we prove the existence of at least two nontrivial positive solutions for all lambda, mu is an element of (0, lambda(1)) and epsilon, delta is an element of (0, delta(0)), where lambda(1) is the first eigenvalue of the Laplace operator - Delta with zero Dirichlet boundary conditions and delta(0) is a positive number. (C) 2003 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000187346400015 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/521]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, DM |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Han, PG. Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,289(1):200-215. |
| APA | Cao, DM,&Han, PG.(2004).Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,289(1),200-215. |
| MLA | Cao, DM,et al."Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 289.1(2004):200-215. |
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。