NEW BOUNDS ON EIGENVUALUES OF LAPLACIAN

被引：0

作者：

纪正超 ^{[1
]}

机构：

[1] Center of Mathematical Scienses, Zhejiang University

来源：

Acta Mathematica Scientia | 2019年 / 02期

关键词：

eigenvalues; Laplacian; Euclidean space; recursion formula;

D O I：

暂无

中图分类号：

O175.9 [特征值及特征值函数问题];

学科分类号：

070104 ;

摘要：

In this paper, we investigate non-zero positive eigenvalues of the Laplacian with Dirichlet boundary condition in an n-dimentional Euclidean space R;, then we obtain an new upper bound of the（k +1）-th eigenvalue λ;, which improve the previous estimate which was obtained by Cheng and Yang, see（1.8）.

引用

页码：545 / 550

页数：6

共 50 条

[31] Conformal bounds for the first eigenvalue of the (p, q)-Laplacian system
Kolaei, Mohammad Javad Habibi Vosta
Azami, Shahroud
TAMKANG JOURNAL OF MATHEMATICS, 2024, 55 (04): : 371 - 389
[32] Tighter spectral bounds for the cut size, based on Laplacian eigenvectors
Devriendt, Karel
Van Mieghem, Piet
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 572 : 68 - 91
[33] The characterization of the upper bounds on the largest Laplacian eigenvalue of weighted graphs
Li, Ping
ARS COMBINATORIA, 2020, 153 : 99 - 107
[34] Sharp Bounds for the Signless Laplacian Spectral Radius of Uniform Hypergraphs
He, Jun
Liu, Yan-Min
Tian, Jun-Kang
Liu, Xiang-Hu
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (02) : 583 - 591
[35] Laplacian spread of graphs: Lower bounds and relations with invariant parameters
Andrade, Enide
Cardoso, Domingos M.
Robbiano, Maria
Rodriguez, Jonnathan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 494 - 503
[36] Nonpositive eigenvalues of the adjacency matrix and lower bounds for Laplacian eigenvalues
Charles, Zachary B.
Farber, Miriam
Johnson, Charles R.
Kennedy-Shaffer, Lee
DISCRETE MATHEMATICS, 2013, 313 (13) : 1441 - 1451
[37] Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs
Pluemer, Marvin
JOURNAL OF SPECTRAL THEORY, 2021, 11 (04) : 1857 - 1894
[38] Spectral gap bounds for the simplicial Laplacian and an application to random complexes
Shukla, Samir
Yogeshwaran, D.
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 169
[39] BOUNDS FOR THE SKEW LAPLACIAN (SKEW ADJACENCY) SPECTRAL RADIUS OF A DIGRAPH
Ganie, Hilal A.
TRANSACTIONS ON COMBINATORICS, 2019, 8 (02) : 1 - 12
[40] Bounds on the Reciprocal distance energy and Reciprocal distance Laplacian energies of a graph
Medina, Luis
Trigo, Macarena
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (16) : 3097 - 3118

← 1 2 3 4 5 →