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.
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页数：27
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