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Critical Neumann problem with competing hardy potentials
Cao, Daomin1; Chabrowski, Jan2
2007
Source PublicationREVISTA MATEMATICA COMPLUTENSE
ISSN1139-1138
Volume20Issue:2Pages:309-338
AbstractIn 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.
Keywordcritical Sobolev exponent Hardy potential concentration-compactness principle Neumann problem
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000255028200003
PublisherUNIV COMPLUTENSE MADRID, SERVICIO PUBLICACIONES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4635
Collection应用数学研究所
Corresponding AuthorCao, Daomin
Affiliation1.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
Recommended Citation
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.
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