A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space

被引：0
|
作者：
Funano, Kei [1 ,2 ]
机构：
[1] Tohoku Univ, Grad Sch Informat Sci, Div Math, 6-3-09 Aramaki Aza Aoba,Aoba Ku, Sendai 9808579, Japan
[2] Tohoku Univ, Res Ctr Pure & Appl Math, Grad Sch Informat Sci, 6-3-09 Aramaki Aza Aoba,Aoba Ku, Sendai 9808579, Japan
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 01期
关键词：
Neumann eigenvalues of the Laplacian; universal inequalities; convex domain; UPPER-BOUNDS;
D O I：
10.4153/S0008439523000735
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a new upper bound for Neumann eigenvalues of the Laplacian on a bounded convex domain in Euclidean space. As an application of the upper bound, we derive universal inequalities for Neumann eigenvalues of the Laplacian.
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页码：222 / 226
页数：5
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