On convex domains maximizing the gradient of the torsion function

Linhang Huang

We consider the solution of $-\hat{I}”u=1$ on convex domains $\hat{I}\text{c◯}\subset {\mathbb{R}}^2$ subject to Dirichlet boundary conditions $u=0$ on $\partial \hat{I}\text{c◯}$. Our main concern is the behavior…