On Schechter's linking theorems

doi:10.1016/j.jfa.2009.11.005

CSpace

	On Schechter's linking theorems
	Zou, W.1; Li, S.2
	2010-05-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	258 期号:10 页码:3347-3361
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.
关键词	Schechter's linking Sign-changing solution PS-sequence Value-splitting
DOI	10.1016/j.jfa.2009.11.005
语种	英语
资助项目	NSFC ; Ministry of Education in China for NCET
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000275637100006
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/9844
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.