Ljusternik-Schnirelman theory in partially ordered Hilbert spaces

CSpace

	Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
	Li, SJ ; Wang, ZQ
	2002
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	354 期号:8 页码:3207-3227
摘要	We present several variants of Ljusternik-Schnirelman type theorems in partially ordered Hilbert spaces, which assert the locations of the critical points constructed by the minimax method in terms of the order structures. These results are applied to nonlinear Dirichlet boundary value problems to obtain the multiplicity of sign-changing solutions.
关键词	Ljusternik-Schnirelman theory order structure minimax method sign-changing solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000175300200012
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17170
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
推荐引用方式 GB/T 7714	Li, SJ,Wang, ZQ. Ljusternik-Schnirelman theory in partially ordered Hilbert spaces[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2002,354(8):3207-3227.
APA	Li, SJ,&Wang, ZQ.(2002).Ljusternik-Schnirelman theory in partially ordered Hilbert spaces.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,354(8),3207-3227.
MLA	Li, SJ,et al."Ljusternik-Schnirelman theory in partially ordered Hilbert spaces".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 354.8(2002):3207-3227.