New linking theorem and elliptic systems with nonlinear boundary condition

CSpace

	New linking theorem and elliptic systems with nonlinear boundary condition
	Zou, WM ; Li, SJ
	2003-03-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	52 期号:7 页码:1797-1820
摘要	In this paper, we establish a new linking theorem without (PS)-type assumption. The new theorem produces bounded (PS) sequences. The abstract result will be used to study the existence of nontrivial (positive) solutions to the elliptic system Deltau = u, Deltav = v in Omega with nonlinear boundary condition partial derivativeu/partial derivativen = G(v), partial derivativev/partial derivativen = G(u) on partial derivativeOmega, where Omega is a bounded domain of R-N with smooth boundary, partial derivative/partial derivativen is the outer normal derivative. We consider "weak" superlinear and asymptotically linear cases. (C) 2003 Elsevier Science Ltd. All rights reserved.
关键词	linking nonlinear boundary condition elliptic systems
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000181012600008
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18368
专题	中国科学院数学与系统科学研究院
通讯作者	Zou, WM
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zou, WM,Li, SJ. New linking theorem and elliptic systems with nonlinear boundary condition[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,52(7):1797-1820.
APA	Zou, WM,&Li, SJ.(2003).New linking theorem and elliptic systems with nonlinear boundary condition.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,52(7),1797-1820.
MLA	Zou, WM,et al."New linking theorem and elliptic systems with nonlinear boundary condition".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 52.7(2003):1797-1820.