Multiple solutions to singular critical elliptic equations

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	Multiple solutions to singular critical elliptic equations
	Han, Pigong
	2006
发表期刊	ISRAEL JOURNAL OF MATHEMATICS
ISSN	0021-2172
卷号	156 页码:359-380
摘要	Assume 0 <= mu < (mu) over bar ((2)/(N-2))(2) and let Omega subset of R-N (N >= 4) be a smooth bounded domain, 0 is an element of Omega. We study the semilinear elliptic problem: -Delta u - mu(vertical bar x vertical bar 2)/(u) = lambda u + Q(x)vertical bar U vertical bar(2*-2)u,u is an element of H-0(1)(Omega). By investigating the effect of the coefficient Q, we establish the existence of nontrivial solutions for any lambda > 0 and multiple positive solutions with lambda,mu > 0 small.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000243237900017
出版者	HEBREW UNIV MAGNES PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3729
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. Multiple solutions to singular critical elliptic equations[J]. ISRAEL JOURNAL OF MATHEMATICS,2006,156:359-380.
APA	Han, Pigong.(2006).Multiple solutions to singular critical elliptic equations.ISRAEL JOURNAL OF MATHEMATICS,156,359-380.
MLA	Han, Pigong."Multiple solutions to singular critical elliptic equations".ISRAEL JOURNAL OF MATHEMATICS 156(2006):359-380.