THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT

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	THE SIGN-CHANGING SOLUTIONS FOR SINGULAR CRITICAL GROWTH SEMILINEAR ELLIPTIC EQUATIONS WITH A WEIGHT
	Han, Pigong1 ; Liu, Zhaoxia 2
	2004-07-01
发表期刊	DIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN	0893-4983
卷号	17 期号:7-8 页码:835-848
摘要	By 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.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208532800007
出版者	KHAYYAM PUBL CO INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19482
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.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
推荐引用方式 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.