夹板问题特征值的新通用不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-08 DOI:10.1007/s11118-024-10122-y

Yiling Jin, Shiyun Pu, Yuxia Wei, Yue He

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引用次数: 0

摘要

本文研究了夹板问题特征值的普适不等式，并建立了一些不同于文献中已有的新的普适不等式，如（Wang and Xia J. Funct. Anal.Anal.245(1), 334-352 2007）、（Wang and Xia Calc.Var.Partial Differential Equations 40(1-2), 273-289 2011），（Chen, Zheng, and Lu Pacific J. Math.255(1), 41-54 2012）等。特别是，我们的结果可以较快地揭示第((k+1)\)个特征值与前 k 个特征值之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New Universal Inequalities for Eigenvalues of a Clamped Plate Problem

In this paper, we study the universal inequalities for eigenvalues of a clamped plate problem, and establish some new universal inequalities that are different from those already present in the literature, such as (Wang and Xia J. Funct. Anal. 245(1), 334-352 2007), (Wang and Xia Calc. Var. Partial Differential 653 Equations 40(1-2), 273-289 2011), (Chen, Zheng, and Lu Pacific J. Math. 255(1), 41-54 2012), and so on. In particular, our results can reveal the relationship between the \((k+1)\)-th eigenvalue and the first k eigenvalues relatively quickly.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.