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Solutions for semilinear elliptic equations with critical exponents and Hardy potential
Cao, DM; Han, PG
2004-10-15
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume205Issue:2Pages:521-537
AbstractIn this paper, we answer affirmatively an open problem (cf. Theorem 4' in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494): Let OhmThere Exists0 be an open-bounded domain, Ohm subset of R-N (N greater than or equal to 5)and assume that 0 less than or equal to mu < (N-2/2)(2) - (N+2/N)(2), then, for all lambda > 0 there exists a nontrivial solution with critical level in the range (0, 1/N S-mu(N/2)) for the problem -Deltamu- mu u/\x\(2) = lambdau + \u\(2*-2)u in Ohm; u = 0 on partial derivativeOhm. (C) 2004 Elsevier Inc. All rights reserved.
Keywordsemilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent
DOI10.1016/j.jde.2004.03.005
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000224505500011
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:119[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19538
Collection应用数学研究所
Affiliation1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China
2.Acad Sinica, Grad Sch, Beijing 100039, Peoples R China
Recommended Citation
GB/T 7714
Cao, DM,Han, PG. Solutions for semilinear elliptic equations with critical exponents and Hardy potential[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2004,205(2):521-537.
APA Cao, DM,&Han, PG.(2004).Solutions for semilinear elliptic equations with critical exponents and Hardy potential.JOURNAL OF DIFFERENTIAL EQUATIONS,205(2),521-537.
MLA Cao, DM,et al."Solutions for semilinear elliptic equations with critical exponents and Hardy potential".JOURNAL OF DIFFERENTIAL EQUATIONS 205.2(2004):521-537.
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