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.
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页码：374 / 386
页数：13
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