A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue

被引：0
|
作者：
Gavitone, Nunzia [1 ]
Piscitelli, Gianpaolo [1 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia,Complesso Univ Monte S Angelo, I-80126 Naples, Italy
来源：
REVISTA MATEMATICA COMPLUTENSE | 2024年 / 37卷 / 02期
关键词：
Laplacian eigenvalue; Steklov-Dirichlet boundary conditions; Shape derivative; DOMAINS;
D O I：
10.1007/s13163-023-00482-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the first Steklov-Dirichlet eigenvalue of the Laplace operator in annular domains with a spherical hole. We prove a monotonicity result with respect to the hole, when the outer region is centrally symmetric.
引用
收藏
页码：509 / 523
页数：15
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