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INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY
Cao Daomin1; Yan Shusen2
2010-11-01
发表期刊ACTA MATHEMATICA SCIENTIA
ISSN0252-9602
卷号30期号:6页码:2017-2032
摘要We study the following elliptic problem: { -div (a(x)Du = Q(x)vertical bar u vertical bar(2*-2)u + lambda u x is an element of Omega, u = 0 on partial derivative Omega. Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.
关键词semilinear elliptic equations infinitely many solutions variational method
语种英语
资助项目NSFC[10631030] ; CAS in China ; ARC in Australia
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000284793000013
出版者ELSEVIER SCIENCE 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/9936
专题应用数学研究所
通讯作者Cao Daomin
作者单位1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
2.Univ New England, Dept Math, Armidale, NSW 2351, Australia
推荐引用方式
GB/T 7714
Cao Daomin,Yan Shusen. INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY[J]. ACTA MATHEMATICA SCIENTIA,2010,30(6):2017-2032.
APA Cao Daomin,&Yan Shusen.(2010).INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY.ACTA MATHEMATICA SCIENTIA,30(6),2017-2032.
MLA Cao Daomin,et al."INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY".ACTA MATHEMATICA SCIENTIA 30.6(2010):2017-2032.
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