Localisation for the torsion function and the strong Hardy inequality
Analysis of PDEs
2021-03-11 v3
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.
Cite
@article{arxiv.2008.07167,
title = {Localisation for the torsion function and the strong Hardy inequality},
author = {Michiel van den Berg and Thomas Kappeler},
journal= {arXiv preprint arXiv:2008.07167},
year = {2021}
}
Comments
20 pages, 4 figures