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THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT
Han, Pigong1; Liu, Zhaoxia2
2004-07-01
Source PublicationDIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN0893-4983
Volume17Issue:7-8Pages:835-848
AbstractBy means of variational method, we study a singular critical growth semilinear elliptic problem: -Delta u = Q(x)vertical bar u vertical bar(2*-2)u + mu u/vertical bar x vertical bar(2) + lambda u, u is an element of H-0(1) (Omega), where 2* = 2N/N - 2, N >= 7, 0 < mu < (N - 2)(2)/4, lambda > 0, and Q(x) is a positive function on (Omega) over bar. By investigating the effect of the coefficient of the critical nonlinearity, we prove the existence of sign-changing solutions.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000208532800007
PublisherKHAYYAM PUBL CO INC
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19482
Collection应用数学研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Recommended Citation
GB/T 7714
Han, Pigong,Liu, Zhaoxia. THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2004,17(7-8):835-848.
APA Han, Pigong,&Liu, Zhaoxia.(2004).THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT.DIFFERENTIAL AND INTEGRAL EQUATIONS,17(7-8),835-848.
MLA Han, Pigong,et al."THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT".DIFFERENTIAL AND INTEGRAL EQUATIONS 17.7-8(2004):835-848.
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