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

页码：509 / 523

页数：15

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