Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity
文献类型:期刊论文
作者 | Li, SJ; Zhang, ZT![]() |
刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
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出版日期 | 2001-07-01 |
卷号 | 44期号:7页码:856-866 |
关键词 | Fucik spectrum critical points critical groups sign-changing solutions Dirichlet problems jumping nonlinearities |
ISSN号 | 1006-9283 |
英文摘要 | In this paper, Fucik spectrum, ordinary differential equation theory of Banach spaces and Morse theory are used to study semilinear elliptic boundary value problems with jumping nonlinearities; at zero or infinity, and some new results on the existence of nontrivial solutions, multiple solutions and sign-changing solutions are obtained. In one case seven nontrivial solutions are got. The techniques have independent interest. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000171856500006 |
出版者 | SCIENCE PRESS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16695] ![]() |
专题 | 数学所 |
通讯作者 | Li, SJ |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, SJ,Zhang, ZT. Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(7):856-866. |
APA | Li, SJ,&Zhang, ZT.(2001).Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(7),856-866. |
MLA | Li, SJ,et al."Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.7(2001):856-866. |
入库方式: OAI收割
来源:数学与系统科学研究院
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