Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
文献类型：期刊论文
| 作者 | Zhang, ZT ; Li, XD
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2002-01-20 |
| 卷号 | 178期号:2页码:298-313 |
| 关键词 | sign-changing solutions Dirichlet problems reaction term multiple solutions |
| ISSN号 | 0022-0396 |
| DOI | 10.1006/jdeq.2001.4015 |
| 英文摘要 | In this paper, we use the ordinary differential equation theory of Banach spaces and minimax theory, in particular, the local mountain pass lemma to study asymptotically linear and superlinear elliptic boundary value problems with a reaction term nonzero at zero, and get new multiple solutions and sign-changing solutions theorems. Moreover, the sign-changing solutions change sign exactly once under some conditions. (C) 2002 Elsevier Science. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000173855200002 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17097]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, ZT |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Univ Illinois, Dept Math, Urbana, IL 61801 USA |
| 推荐引用方式 GB/T 7714 | Zhang, ZT,Li, XD. Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,178(2):298-313. |
| APA | Zhang, ZT,&Li, XD.(2002).Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero.JOURNAL OF DIFFERENTIAL EQUATIONS,178(2),298-313. |
| MLA | Zhang, ZT,et al."Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero".JOURNAL OF DIFFERENTIAL EQUATIONS 178.2(2002):298-313. |
入库方式： OAI收割
来源：数学与系统科学研究院
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