Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals

被引：1

作者：

Larsen-Scott, James ^{[1
]}

Clutterbuck, Julie ^{[1
]}

机构：

[1] Monash Univ, Sch Math, Melbourne, Vic 3800, Australia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

EIGENVALUE; SURFACE;

D O I：

10.1063/5.0175344

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the Robin eigenvalue problem for the Laplacian with negative boundary parameter on quadrilateral domains of fixed area. In this paper, we prove that the square is a local maximiser of the first eigenvalue with respect to the Hausdorff metric. We also provide asymptotic results relating to the optimality of the square for extreme values of the Robin parameter.

引用

页数：20

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