Some properties of the torsion function with Robin boundary conditions
Rossano Sannipoli · Rendiconti Lincei Matematica e Applicazioni · 2022
In this paper we study some properties of the torsion function with Robin boundary conditions. Here we write the shape derivative of the L^{\infty} and L^p norms, for p\ge 1 , of the torsion function, seen as a functional on a bounded simply connected open set \Omega\subset\mathbb{R}^n , and prove that the balls are critical shapes for these functionals, when the volume of \Omega is preserved.