Critical Neumann problem with competing hardy potentials

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	Critical Neumann problem with competing hardy potentials
	Cao, Daomin1 ; Chabrowski, Jan 2
	2007
发表期刊	REVISTA MATEMATICA COMPLUTENSE
ISSN	1139-1138
卷号	20 期号:2 页码:309-338
摘要	In this paper we investigate the solvability of the nonlinear Neumann problem (1) involving a critical Sobolev nonlinearity and two competing Hardy potentials in a bounded domain. We examine the common effect of the shape of the graph of the weight function, the mean curvature of the boundary and Hardy potentials on the existence of solutions of problem (1). We are mainly interested in the existence of positive solutions. We also obtain the existence of sign-changing solutions.
关键词	critical Sobolev exponent Hardy potential concentration-compactness principle Neumann problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000255028200003
出版者	UNIV COMPLUTENSE MADRID, SERVICIO PUBLICACIONES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4635
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia
推荐引用方式 GB/T 7714	Cao, Daomin,Chabrowski, Jan. Critical Neumann problem with competing hardy potentials[J]. REVISTA MATEMATICA COMPLUTENSE,2007,20(2):309-338.
APA	Cao, Daomin,&Chabrowski, Jan.(2007).Critical Neumann problem with competing hardy potentials.REVISTA MATEMATICA COMPLUTENSE,20(2),309-338.
MLA	Cao, Daomin,et al."Critical Neumann problem with competing hardy potentials".REVISTA MATEMATICA COMPLUTENSE 20.2(2007):309-338.