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Multiple positive solutions for a critical growth problem with Hardy potential
Han, PG
2006-02-01
Source PublicationPROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN0013-0915
Volume49Pages:53-69
AbstractIn this paper we study the existence and nonexistence of multiple positive solutions for the Dirichlet problem: -Delta u-u/\x\(2) = lambda(1 + u)(p), u > 0, u is an element of H-0(1)(Omega), (*) where 0 <= mu < (1/2 (N-2))(2), lambda > 0, 1 < p <= (N+2)/(N-2), N >= 3. Using the sub-supersolution method and the variational approach, we prove that there exists a positive number lambda* such that problem (*) possesses at least two positive solutions if lambda is an element of (0, lambda*), a unique positive solution if lambda = lambda*, and no positive solution if lambda is an element of (lambda*, infinity).
Keywordpositive solution subsolution and supersolution Palais-Smale condition critical Sobolev exponent
DOI10.1017/S0013091504001464
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000235872500005
PublisherCAMBRIDGE UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/3201
Collection应用数学研究所
Corresponding AuthorHan, PG
AffiliationChinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Han, PG. Multiple positive solutions for a critical growth problem with Hardy potential[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,2006,49:53-69.
APA Han, PG.(2006).Multiple positive solutions for a critical growth problem with Hardy potential.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,49,53-69.
MLA Han, PG."Multiple positive solutions for a critical growth problem with Hardy potential".PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 49(2006):53-69.
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