Continuous minimizer of eigenvalues for eigenvalue problem with equimeasurable weights
文献类型：期刊论文
| 作者 | Wen,Zhiyuan; Zhou,Lijuan |
| 刊名 | Boundary Value Problems
 |
| 出版日期 | 2018-05-09 |
| 卷号 | 2018期号:1 |
| 关键词 | Distribution function Equimeasurable Eigenvalue Rearrangement |
| ISSN号 | 1687-2770 |
| DOI | 10.1186/s13661-018-0991-1 |
| 英文摘要 | 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). |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/S13661-018-0991-1 |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/419]  |
| 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). |
入库方式： OAI收割
来源：数学与系统科学研究院
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