Localisation for the torsion function and the strong Hardy inequality

Michiel van den Berg; Thomas Kappeler

doi:10.1112/mtk.12086

Localisation for the torsion function and the strong Hardy inequality

Michiel van den Berg, Thomas Kappeler

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Abstract

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. Localisation properties of the torsion function are obtained under that hypothesis. An example is analysed in detail.

Original language	English
Pages (from-to)	514-531
Number of pages	18
Journal	Mathematika
Volume	67
Issue number	2
Early online date	15 Mar 2021
DOIs	https://doi.org/10.1112/mtk.12086
Publication status	Published - Apr 2021

Keywords

Torsion function
Dirichlet boundary condition
localisation
efficiency
Hardy inequality

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abstract = "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. Localisation properties of the torsion function are obtained under that hypothesis. An example is analysed in detail.",

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AU - Kappeler, Thomas

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KW - Torsion function

KW - Dirichlet boundary condition

KW - localisation

KW - efficiency

KW - Hardy inequality

U2 - 10.1112/mtk.12086

DO - 10.1112/mtk.12086

M3 - Article (Academic Journal)

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EP - 531

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JF - Mathematika

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Localisation for the torsion function and the strong Hardy inequality

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Keywords

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