CSpace
On sign-changing and multiple solutions of the p-Laplacian
Zhang, ZT; Li, SJ
2003-02-01
Source PublicationJOURNAL OF FUNCTIONAL ANALYSIS
ISSN0022-1236
Volume197Issue:2Pages:447-468
AbstractIn this paper, we construct the pseudo-gradient vector field in W-0(1,p)(Omega), by which we obtain the positive and negative cones of W-0(1,p)(Omega) are both invariant sets of the descent flow of the corresponding functional. Then we use differential equations theory in Banach spaces and dynamics theory to study p-Laplacian boundary value problems with "jumping" nonlinearities at zero or infinity, and get new multiple solutions and sign-changing solutions theorems of p-Laplacian. (C) 2002 Elsevier Science (USA). All rights reserved.
Keywordcritical points p-Laplacian sign-changing solutions multiple solutions jumping nonlinearities
DOI10.1016/S0022-1236(02)00103-9
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000181491700006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:44[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18362
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, ZT,Li, SJ. On sign-changing and multiple solutions of the p-Laplacian[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2003,197(2):447-468.
APA Zhang, ZT,&Li, SJ.(2003).On sign-changing and multiple solutions of the p-Laplacian.JOURNAL OF FUNCTIONAL ANALYSIS,197(2),447-468.
MLA Zhang, ZT,et al."On sign-changing and multiple solutions of the p-Laplacian".JOURNAL OF FUNCTIONAL ANALYSIS 197.2(2003):447-468.
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