Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights

doi:10.1186/s13661-018-0991-1

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	Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights
	Wen,Zhiyuan; Zhou,Lijuan
	2018-05-09
发表期刊	Boundary Value Problems
ISSN	1687-2770
卷号	2018 期号:1
摘要	AbstractThe problem in this paper is motivated by physical problems concerned with the case when a class of continuous and equimeasurable densities of a string is given then how to find minimal frequencies among these given densities, that is, what kind of densities minimize the frequencies. By taking Dirichlet eigenvalues into account, given a certain weight function ω, we will show the minimizer of the mth eigenvalue is the m-degree continuous symmetrical decreasing rearrangement of ω. The main result of this paper can be viewed as complementary to Schwarz’s work (Schwarz in J. Math. Mech. 10:401–422, 1961).
关键词	Distribution function Equimeasurable Eigenvalue Rearrangement
DOI	10.1186/s13661-018-0991-1
语种	英语
WOS记录号	BMC:10.1186/s13661-018-0991-1
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/420
专题	中国科学院数学与系统科学研究院
通讯作者	Wen,Zhiyuan
作者单位
推荐引用方式 GB/T 7714	Wen,Zhiyuan,Zhou,Lijuan. Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights[J]. Boundary Value Problems,2018,2018(1).
APA	Wen,Zhiyuan,&Zhou,Lijuan.(2018).Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights.Boundary Value Problems,2018(1).
MLA	Wen,Zhiyuan,et al."Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights".Boundary Value Problems 2018.1(2018).