A rigidity theorem for Kolmogorov-type operators

Alessia E. Kogoj, E. Lanconelli

Let $D\subseteq {\mathbb{R}}^n$, $n\ge 3$, be a bounded open set and let $x_0\in D$. Assume that the Newtonian potential of $D$ is proportional outside $D$ to the Newtonian potentia…