Strongly indefinite functionals and multiple solutions of elliptic systems
文献类型：期刊论文
| 作者 | De Figueiredo, DG; Ding, YH
|
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2003 |
| 卷号 | 355期号:7页码:2973-2989 |
| 关键词 | elliptic system multiple solutions critical point theory |
| ISSN号 | 0002-9947 |
| 英文摘要 | We study existence and multiplicity of solutions of the elliptic system (GRAPHICS) where Omega subset of R-N; Ngreater than or equal to3, is a smooth bounded domain and His an element ofC(1) ((Omega) over barx R-2, R). We assume that the nonlinear term (GRAPHICS) where p is an element of (1, 2*), 2* := 2N/(N-2), and q is an element of (1,infinity). So some supercritical systems are included. Nontrivial solutions are obtained. When H(x, u, v) is even in (u, v), we show that the system possesses a sequence of solutions associated with a sequence of positive energies (resp. negative energies) going toward infinity (resp. zero) if p>2 (resp. p<2). All results are proved using variational methods. Some new critical point theorems for strongly indefinite functionals are proved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182170300018 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18959]  |
| 专题 | 数学所 |
| 通讯作者 | De Figueiredo, DG |
| 作者单位 | 1.Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP, Brazil 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | De Figueiredo, DG,Ding, YH. Strongly indefinite functionals and multiple solutions of elliptic systems[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,355(7):2973-2989. |
| APA | De Figueiredo, DG,&Ding, YH.(2003).Strongly indefinite functionals and multiple solutions of elliptic systems.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,355(7),2973-2989. |
| MLA | De Figueiredo, DG,et al."Strongly indefinite functionals and multiple solutions of elliptic systems".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 355.7(2003):2973-2989. |
入库方式： OAI收割
来源：数学与系统科学研究院
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