Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds

被引：3

作者：

Chen, Daguang ^{[1
]}

Cheng, Qing-Ming ^{[2
]}

Li, Haizhong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Fukuoka Univ, Fac Sci, Dept Appl Math, Fukuoka 8140180, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 336卷

关键词：

Faber-Krahn; Isoperimetric inequality; Robin Laplacian; Eigenvalue;

D O I：

10.1016/j.jde.2022.07.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the Faber-Krahn inequality for the first eigenvalue of the Robin Laplacian on bounded domain in Riemannian manifolds whose Ricci curvature satisfies Ric(g) >= (n - 1). The FaberKrahn inequality also holds for the Robin Laplacian on bounded domain in hyperbolic space H-n. (C) 2022 Elsevier Inc. All rights reserved.

引用

页码：374 / 386

页数：13

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