Payne-Polya-Weinberger, Hile-Protter and Yang's Inequalities for Dirichlet Laplace Eigenvalues on Integer Lattices - Details

author：

Hua, Bobo (Hua, Bobo.) ^[1] | Lin, Yong (Lin, Yong.) ^[2] | Su, Yanhui (Su, Yanhui.) ^[3] (Scholars：苏延辉)

Indexed by：

Scopus SCIE

Abstract：

In　this　paper,　we　prove　some　analogues　of　Payne-Polya-Weinberger,　Hile-Protter　and　Yang＇s　inequalities　for　Dirichlet　(discrete)　Laplace　eigenvalues　on　any　subset　in　the　integer　lattice　Z(n).　This　partially　answers　a　question　posed　by　Chung　and　Oden　(Pac　J　Math　192(2):257-273,　2000).

Keyword：

Dirichlet Laplacians on graphs Eigenvalues Universal inequalities for eigenvalues

Community：

[ 1 ] [Hua, Bobo]Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China
[ 2 ] [Lin, Yong]Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[ 3 ] [Lin, Yong]Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
[ 4 ] [Su, Yanhui]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China

Reprint 's Address：

Email：

bobohua@fudan.edu.cn |
yonglin@tsinghua.edu.cn |
suyh@fzu.edu.cn

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Version：

Payne–Polya–Weinberger, Hile–Protter and Yang’s Inequalities for Dirichlet Laplace Eigenvalues on Integer Lattices
2023，Journal of Geometric Analysis

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Source ：

JOURNAL OF GEOMETRIC ANALYSIS

ISSN： 1050-6926

Year： 2023

Issue： 7

Volume： 33

1 . 2

JCR@2023

1 . 2 0 0

JCR@2023

ESI Discipline： MATHEMATICS;

ESI HC Threshold：13

JCR Journal Grade：1

CAS Journal Grade：2

Cited Count：

WoS CC Cited Count： 1

SCOPUS Cited Count： 1

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 0

Affiliated Colleges：

数学与统计学院本学院/部未明确归属的数据

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