Shape optimisation of the maximum of the gradient of the torsion function on convex sets

Michiel van den Berg, Dorin Bucur, Mickael Nahon

We analyse the boundary behaviour of the gradient of the torsion function $w_\Om$ in convex domains $\Om\subset\mathbb{R}^d$. We prove that its $L^{\infty }$-norm is attained at a bou…