Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem

被引：0

作者：

Ji, Zhengchao ^{[1
]}

Xu, Hongwei ^{[1
]}

机构：

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 06期

基金：

中国国家自然科学基金;

关键词：

35P15; 58G05; UNIVERSAL BOUNDS; CONJECTURE; DOMAINS; POLYA;

D O I：

10.1007/s00526-023-02506-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first investigate the lower bound for higher eigenvalues ?(i) of the Laplace operator on a bounded domain and obtain a sharp lower bound. Then, we extent this estimate of the eigenvalues to general cases. Finally, we study the eigenvalues G(i) for the clamped plate problem and deliver a sharp bound for the clamped plate problem for arbitrary dimension.

引用

页数：27

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