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.
|Number of pages||18|
|Early online date||15 Mar 2021|
|Publication status||Published - Apr 2021|
- Torsion function
- Dirichlet boundary condition
- Hardy inequality