On sign-changing and multiple solutions of the p-Laplacian
文献类型：期刊论文
| 作者 | Zhang, ZT; Li, SJ |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2003-02-01 |
| 卷号 | 197期号:2页码:447-468 |
| 关键词 | critical points p-Laplacian sign-changing solutions multiple solutions jumping nonlinearities |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/S0022-1236(02)00103-9 |
| 英文摘要 | In this paper, we construct the pseudo-gradient vector field in W-0(1,p)(Omega), by which we obtain the positive and negative cones of W-0(1,p)(Omega) are both invariant sets of the descent flow of the corresponding functional. Then we use differential equations theory in Banach spaces and dynamics theory to study p-Laplacian boundary value problems with "jumping" nonlinearities at zero or infinity, and get new multiple solutions and sign-changing solutions theorems of p-Laplacian. (C) 2002 Elsevier Science (USA). All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000181491700006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18361]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, ZT |
| 作者单位 | Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, ZT,Li, SJ. On sign-changing and multiple solutions of the p-Laplacian[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2003,197(2):447-468. |
| APA | Zhang, ZT,&Li, SJ.(2003).On sign-changing and multiple solutions of the p-Laplacian.JOURNAL OF FUNCTIONAL ANALYSIS,197(2),447-468. |
| MLA | Zhang, ZT,et al."On sign-changing and multiple solutions of the p-Laplacian".JOURNAL OF FUNCTIONAL ANALYSIS 197.2(2003):447-468. |
入库方式： OAI收割
来源：数学与系统科学研究院
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