Hölder stability for Serrin's overdetermined problem

Giulio Ciraolo, Rolando Magnanini, Vincenzo Vespri

In a bounded domain $\Omega$, we consider a positive solution of the problem $\Delta u+f(u)=0$ in $\Omega$, $u=0$ on $\partial \Omega$, where $f:\mathbb{R}\to \mathbb{R}$ is a locally Lipschitz continuou…