LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY

被引：3

作者：

van den Berg, M. ^{[1
]}

Kappeler, T. ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Fry Bldg,Woodland Rd, Bristol BS8 1UG, Avon, England

[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

MATHEMATIKA | 2021年 / 67卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

35J25 (primary); 35P99 (secondary);

D O I：

10.1112/mtk.12086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localization properties of the torsion function are obtained under that hypothesis. An example is analyzed in detail.

引用

页码：514 / 531

页数：18

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