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Existence of positive solutions for a general nonlinear eigenvalue problem

文献类型：期刊论文

作者Cheng, Xi-you1,2; Zhang, Zhi-tao1
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2011-07-01
卷号27期号:3页码:367-372
关键词unbounded linear operator fixed point index positive solution
ISSN号0168-9673
DOI10.1007/s10255-011-0076-8
英文摘要Let Omega subset of (R)n be a bounded domain, H = L(2)(Omega), L : D( L) subset of H -> H be an unbounded linear operator, f is an element of C((Omega) over bar x R, R) and lambda is an element of R. The paper is concerned with the existence of positive solutions for the following nonlinear eigenvalue problem Lu = lambda f( x, u), u is an element of D(L), which is the general form of nonlinear eigenvalue problems for differential equations. We obtain the global structure of positive solutions, then we apply the results to some nonlinear eigenvalue problems for a second-order ordinary differential equation and a fourth-order beam equation, respectively. The discussion is based on the fixed point index theory in cones.
资助项目National Natural Science Foundation of Jiangsu Province[10KJB110004] ; National Natural Science Foundation of Jiangsu Province[08KJD110010]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000291599500003
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12887]  
专题数学所
通讯作者Cheng, Xi-you
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
2.Nanjing Audit Univ, Dept Appl Math, Nanjing 210029, Peoples R China
推荐引用方式
GB/T 7714		 Cheng, Xi-you,Zhang, Zhi-tao. Existence of positive solutions for a general nonlinear eigenvalue problem[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2011,27(3):367-372.
APA Cheng, Xi-you,&Zhang, Zhi-tao.(2011).Existence of positive solutions for a general nonlinear eigenvalue problem.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,27(3),367-372.
MLA Cheng, Xi-you,et al."Existence of positive solutions for a general nonlinear eigenvalue problem".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 27.3(2011):367-372.

入库方式： OAI收割

来源：数学与系统科学研究院

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