On the torsion function for simply connected, open sets in ${\mathbb{R}}^2$

Michiel van den Berg, Dorin Bucur

For an open set $\Om \subset \R^2$ let $λ(\Om)$ denote the bottom of the spectrum of the Dirichlet Laplacian acting in $L^2(\Om)$. Let $w_\Om$ be the torsion function for $\Om$, a…