黎曼流形上Dirichlet、Neumann和屈曲特征值的一些比较

IF 0.8 3区数学 Q2 MATHEMATICS

Frontiers of Mathematics in China Pub Date : 2023-09-01 DOI:10.1007/s11464-021-0078-7

Guangyue Huang, Bingqing Ma

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引用次数: 0

摘要

本文研究了黎曼流形上狄利克雷特征值、诺伊曼特征值和屈曲特征值的比较。通过引入一个新的参数，我们给出了一些新的关系，在一定程度上改进了Ilias和Shouman在[Calc. Var.偏微分方程，2020,59:Paper No. 127, 15 pp.]中的相应结果。

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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Some Comparisons of Dirichlet, Neumann and Buckling Eigenvalues on Riemannian Manifolds

In this paper, we study some comparisons of Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds. By introducing a new parameter, we provide some new relationships, which improve corresponding results of Ilias and Shouman in [Calc. Var. Partial Differential Equations, 2020, 59: Paper No. 127, 15 pp.] in some sense.

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来源期刊

Frontiers of Mathematics in China MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

703

审稿时长

6-12 weeks

期刊介绍： Frontiers of Mathematics in China provides a forum for a broad blend of peer-reviewed scholarly papers in order to promote rapid communication of mathematical developments. It reflects the enormous advances that are currently being made in the field of mathematics. The subject areas featured include all main branches of mathematics, both pure and applied. In addition to core areas (such as geometry, algebra, topology, number theory, real and complex function theory, functional analysis, probability theory, combinatorics and graph theory, dynamical systems and differential equations), applied areas (such as statistics, computational mathematics, numerical analysis, mathematical biology, mathematical finance and the like) will also be selected. The journal especially encourages papers in developing and promising fields as well as papers showing the interaction between different areas of mathematics, or the interaction between mathematics and science and engineering.