Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
文献类型:期刊论文
作者 | Li, SJ; Zhang, ZT |
刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
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出版日期 | 2000 |
卷号 | 16期号:1页码:113-122 |
关键词 | sign-changing solutions Dirichlet problems multiple solutions jumping nonlinearities |
ISSN号 | 1000-9574 |
英文摘要 | In this paper, we use the ordinary differential equation theory of Banach spaces and minimax theory, and in particular, the relative mountain pass lemma to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, and get new multiple solutions and sign-changing solutions theorems, at last we get up to six nontrivial solutions. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000085451000010 |
出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15210] ![]() |
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 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, SJ,Zhang, ZT. Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(1):113-122. |
APA | Li, SJ,&Zhang, ZT.(2000).Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities.ACTA MATHEMATICA SINICA-ENGLISH SERIES,16(1),113-122. |
MLA | Li, SJ,et al."Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities".ACTA MATHEMATICA SINICA-ENGLISH SERIES 16.1(2000):113-122. |
入库方式: OAI收割
来源:数学与系统科学研究院
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