Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates

被引：6

作者：

Zhao, Yan ^{[1
]}

Wu, Chuanxi ^{[1
]}

Mao, Jing ^{[1
,2
]}

Du, Feng ^{[3
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Key Lab Appl Math Hubei Prov, Wuhan 430062, Peoples R China

[2] Univ Lisbon, Dept Math, Inst Super Tecn, Ave Rovisco Pais, P-1049001 Lisbon, Portugal

[3] Jingchu Univ Technol, Sch Math & Phys Sci, Jingmen 448000, Peoples R China

来源：

REVISTA MATEMATICA COMPLUTENSE | 2020年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Steklov eigenvalue problem; Laplacian; Eigenvalues; Spherically symmetric manifolds; Wentzell eigenvalue problem; ISOPERIMETRIC INEQUALITY;

D O I：

10.1007/s13163-019-00322-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional curvature bounded from above. Besides, sharper bounds for the first non-zero eigenvalue of the Wentzell eigenvalue problem of the weighted Laplacian, which can be seen as a natural generalization of the classical Steklov eigenvalue problem, have been obtained.

引用

页码：389 / 414

页数：26

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