A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents

doi:10.1016/S0893-9659(03)00151-4

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	A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents
	Cao, DM; Han, PG
	2003-10-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	16 期号:7 页码:1105-1113
摘要	In this paper, we study the Neumann problem for a class of semilinear elliptic equations -Deltau=\u\(2-2)u+mu\mu\(q-2)u in Omega, partial derivativeu/partial derivativenu=0 on partial derivativeOmega, where Omega is the unit ball in R-N centered at the origin, Ngreater than or equal to3, 2=2N/(N-2), 10. By cutting the unit ball into angular sectors and using the variational method to deal with a mixed boundary value problem on such domains, we prove the existence of infinitely many nonradial solutions with positive energy for small mu>0. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	Neumann problem semilinear elliptic equation critical point
DOI	10.1016/S0893-9659(03)00151-4
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186310400019
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/18425
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Han, PG. A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents[J]. APPLIED MATHEMATICS LETTERS,2003,16(7):1105-1113.
APA	Cao, DM,&Han, PG.(2003).A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents.APPLIED MATHEMATICS LETTERS,16(7),1105-1113.
MLA	Cao, DM,et al."A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents".APPLIED MATHEMATICS LETTERS 16.7(2003):1105-1113.