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A global compactness result for singular elliptic problems involving critical Sobolev exponent
Cao, DM; Peng, SJ
2003
Source PublicationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9939
Volume131Issue:6Pages:1857-1866
AbstractLet 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.
KeywordPalais-Smale sequence compactness Sobolev and Hardy critical exponents
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000181046000026
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:51[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18299
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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