On Schechter's linking theorems

doi:10.1016/j.jfa.2009.11.005

	On Schechter's linking theorems
	Zou, W.1; Li, S.2
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2010-05-15
卷号	258 期号:10 页码:3347-3361
关键词	Schechter's linking Sign-changing solution PS-sequence Value-splitting
ISSN号	0022-1236
DOI	10.1016/j.jfa.2009.11.005
英文摘要	The existence theorems of critical points due to M. Schechter [M. Schechter, The saddle point alternative, Amer. J. Math. 117 (1995) 1603-1626] are developed to the case of sign-changing critical points. A new relationship between the linking without value-splitting property and the sign-changing (weak) Palais-Smale sequence is established. The new abstract theorems are applied to find nodal solutions to elliptic equations under rather weak hypotheses. (C) 2009 Elsevier Inc. All rights reserved.
资助项目	NSFC ; Ministry of Education in China for NCET
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000275637100006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9843]
专题	中国科学院数学与系统科学研究院
通讯作者	Zou, W.
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zou, W.,Li, S.. On Schechter's linking theorems[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2010,258(10):3347-3361.
APA	Zou, W.,&Li, S..(2010).On Schechter's linking theorems.JOURNAL OF FUNCTIONAL ANALYSIS,258(10),3347-3361.
MLA	Zou, W.,et al."On Schechter's linking theorems".JOURNAL OF FUNCTIONAL ANALYSIS 258.10(2010):3347-3361.