The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents

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	The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents
	Han, Pigong
	2006
发表期刊	HOUSTON JOURNAL OF MATHEMATICS
ISSN	0362-1588
卷号	32 期号:4 页码:1241-1257
摘要	In this paper, we consider the Dirichlet problem for an elliptic system of two equations involving the critical Sobolev exponents. By means of the variational method, we study the effect of the domain topology on the number of positive solutions, and prove the existence of at least cat(Omega) (Omega) positive solutions.
关键词	elliptic system energy functional (PS)(e) condition critical point critical Sobolev exponent
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000243843000021
出版者	UNIV HOUSTON
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3016
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents[J]. HOUSTON JOURNAL OF MATHEMATICS,2006,32(4):1241-1257.
APA	Han, Pigong.(2006).The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents.HOUSTON JOURNAL OF MATHEMATICS,32(4),1241-1257.
MLA	Han, Pigong."The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents".HOUSTON JOURNAL OF MATHEMATICS 32.4(2006):1241-1257.