On sign-changing and multiple solutions of the p-Laplacian

doi:10.1016/S0022-1236(02)00103-9

CSpace

	On sign-changing and multiple solutions of the p-Laplacian
	Zhang, ZT; Li, SJ
	2003-02-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	197 期号:2 页码:447-468
摘要	In 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.
关键词	critical points p-Laplacian sign-changing solutions multiple solutions jumping nonlinearities
DOI	10.1016/S0022-1236(02)00103-9
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000181491700006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18362
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, ZT
作者单位	Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.