Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
文献类型：期刊论文
| 作者 | Li, SJ; Wang, ZQ |
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2002 |
| 卷号 | 354期号:8页码:3207-3227 |
| 关键词 | Ljusternik-Schnirelman theory order structure minimax method sign-changing solutions |
| ISSN号 | 0002-9947 |
| 英文摘要 | We present several variants of Ljusternik-Schnirelman type theorems in partially ordered Hilbert spaces, which assert the locations of the critical points constructed by the minimax method in terms of the order structures. These results are applied to nonlinear Dirichlet boundary value problems to obtain the multiplicity of sign-changing solutions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175300200012 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17169]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, SJ |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA |
| 推荐引用方式 GB/T 7714 | Li, SJ,Wang, ZQ. Ljusternik-Schnirelman theory in partially ordered Hilbert spaces[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2002,354(8):3207-3227. |
| APA | Li, SJ,&Wang, ZQ.(2002).Ljusternik-Schnirelman theory in partially ordered Hilbert spaces.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,354(8),3207-3227. |
| MLA | Li, SJ,et al."Ljusternik-Schnirelman theory in partially ordered Hilbert spaces".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 354.8(2002):3207-3227. |
入库方式： OAI收割
来源：数学与系统科学研究院
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