Multiple positive solutions for a critical growth problem with Hardy potential

doi:10.1017/S0013091504001464

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	Multiple positive solutions for a critical growth problem with Hardy potential
	Han, PG
	2006-02-01
发表期刊	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN	0013-0915
卷号	49 页码:53-69
摘要	In 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).
关键词	positive solution subsolution and supersolution Palais-Smale condition critical Sobolev exponent
DOI	10.1017/S0013091504001464
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000235872500005
出版者	CAMBRIDGE UNIV 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/3201
专题	应用数学研究所
通讯作者	Han, PG
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.