New Universal Inequalities for Eigenvalues of a Clamped Plate Problem

IF 1 3区数学 Q1 MATHEMATICS

Potential Analysis Pub Date : 2024-02-08 DOI:10.1007/s11118-024-10122-y

Yiling Jin, Shiyun Pu, Yuxia Wei, Yue He

引用次数: 0

Abstract

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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夹板问题特征值的新通用不等式

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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来源期刊

Potential Analysis 数学-数学

CiteScore

2.20

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original papers dealing with potential theory and its applications, probability theory, geometry and functional analysis and in particular estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups, resolvent kernels, harmonic spaces and Dirichlet forms; Markov processes, Markov kernels, stochastic differential equations, diffusion processes and Levy processes; analysis of diffusions, heat kernels and resolvent kernels on fractals; infinite dimensional analysis, Gaussian analysis, analysis of infinite particle systems, of interacting particle systems, of Gibbs measures, of path and loop spaces; connections with global geometry, linear and non-linear analysis on Riemannian manifolds, Lie groups, graphs, and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis, ergodic theory, dynamical systems; boundary value problems, Martin boundaries, Poisson boundaries, etc.