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Perturbations from symmetric elliptic boundary value problems
Li, SJ; Liu, ZL
2002-10-10
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume185Issue:1Pages:271-280
AbstractWe study the Multiplicity Of Solutions for the elliptic problem -Deltau = f(x,u) + eg(x,u) in Omega and u = 0 on partial derivativeOmega, where epsilon is a parameter, Omega is a smooth bounded domain in R-N, f is an element of C((&UOmega;) over bar x R), f(x, t) is odd with respect to t, and y is an element of C((&UOmega;) over bar x R). Under suitable conditions only on f, we prove that for any j is an element of N there exists epsilon(j) > 0 such that if \epsilon\ less than or equal to epsilon(j) then the above problem possesses at least j distinct solutions. (C) 2002 Elsevier Science (USA).
Keywordperturbation symmetry elliptic boundary value problems multiple solutions
DOI10.1006/jdeq.2001.4160
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000179255200012
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16966
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Shandong Univ, Dept Math, Jinan 250100, Peoples R China
Recommended Citation
GB/T 7714
Li, SJ,Liu, ZL. Perturbations from symmetric elliptic boundary value problems[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,185(1):271-280.
APA Li, SJ,&Liu, ZL.(2002).Perturbations from symmetric elliptic boundary value problems.JOURNAL OF DIFFERENTIAL EQUATIONS,185(1),271-280.
MLA Li, SJ,et al."Perturbations from symmetric elliptic boundary value problems".JOURNAL OF DIFFERENTIAL EQUATIONS 185.1(2002):271-280.
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