Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems

doi:10.1016/j.na.2004.04.004

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	Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems
	Guo, ZM ; Yu, HJ
	2004-07-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	58 期号:1-2 页码:21-44
摘要	Existence and uniqueness of large positive solutions are obtained for a class of quasilinear elliptic Dirichlet problems in bounded smooth domains Omega with a large parameter lambda. It is shown that a flat core of the large positive solution exists and its existence depends upon the smoothness of the nonlinearity. The distance between the flat core and partial derivativeOmega is precisely measured as lambda --> infinity. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	quasilinear elliptic Dirichlet problems large positive solutions uniqueness flat core
DOI	10.1016/j.na.2004.04.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222711100003
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/828
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, ZM
作者单位	1.Dong Hua Univ, Dept Math, Shanghai 200051, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, ZM,Yu, HJ. Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2004,58(1-2):21-44.
APA	Guo, ZM,&Yu, HJ.(2004).Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,58(1-2),21-44.
MLA	Guo, ZM,et al."Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 58.1-2(2004):21-44.