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Solutions to critical elliptic equations with multi-singular inverse square potentials
Cao, DM; Han, PG
2006-05-15
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume224Issue:2Pages:332-372
AbstractLet Omega be an open-bounded domain in RN (N >= 3) with smooth boundary partial derivative Omega. We are concerned with the multi-singular critical elliptic problem [GRAPHICS] where mu(i) is an element of R, 2* = 2N/N-2, a(i) is an element of Omega (1 <= i <= k) and Q (x) is a positive bounded function on Omega. Using Moser iteration, we prove the asymptotic behavior of solutions for (*) at points a(i) (1 <= i <= k). By exploiting the effect of the coefficient of the critical nonlinearity, we, by means of a variational method, establish the existence of positive and sign-changing solutions for problem (*). (c) 2005 Elsevier Inc. All rights reserved.
Keywordsemilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent
DOI10.1016/j.jde.2005.07.010
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000237877000006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2450
Collection应用数学研究所
Corresponding AuthorCao, DM
AffiliationChinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cao, DM,Han, PG. Solutions to critical elliptic equations with multi-singular inverse square potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,224(2):332-372.
APA Cao, DM,&Han, PG.(2006).Solutions to critical elliptic equations with multi-singular inverse square potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,224(2),332-372.
MLA Cao, DM,et al."Solutions to critical elliptic equations with multi-singular inverse square potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 224.2(2006):332-372.
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