A global compactness result for singular elliptic problems involving critical Sobolev exponent

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	A global compactness result for singular elliptic problems involving critical Sobolev exponent
	Cao, DM; Peng, SJ
	2003
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	131 期号:6 页码:1857-1866
摘要	Let Omega subset of R-N be a bounded domain such that 0 is an element of Omega, N greater than or equal to 3, 2* = 2N/N-2, lambda is an element of R, epsilon is an element of R. Let {u(n)} subset of H-0(1)(Omega) be a (P.S.) sequence of the functional E-lambda,E-epsilon(u) = 1/2 integral(Omega)(\delu\(2) - lambdau(2) / \x\(2) - epsilonu(2)) - 1/2* integral(Omega)\u\(2*). We study the limit behaviour of un and obtain a global compactness result.
关键词	Palais-Smale sequence compactness Sobolev and Hardy critical exponents
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000181046000026
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18299
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Xiao Gan Univ, Dept Math, Xiao Gan, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Peng, SJ. A global compactness result for singular elliptic problems involving critical Sobolev exponent[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,131(6):1857-1866.
APA	Cao, DM,&Peng, SJ.(2003).A global compactness result for singular elliptic problems involving critical Sobolev exponent.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,131(6),1857-1866.
MLA	Cao, DM,et al."A global compactness result for singular elliptic problems involving critical Sobolev exponent".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131.6(2003):1857-1866.