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Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity
Li, SJ; Zhang, ZT
2001-07-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume44Issue:7Pages:856-866
AbstractIn 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.
KeywordFucik spectrum critical points critical groups sign-changing solutions Dirichlet problems jumping nonlinearities
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000171856500006
PublisherSCIENCE PRESS
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16696
Collection数学所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
Recommended Citation
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.
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