Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups

Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1

Let $1<p\le \infty$. We provide an asymptotic characterization of continuous viscosity solutions $u$ of the normalized $p$-Laplacian ${\Delta }_{p\mathbb{G}}^{N}u=0$ in any Carnot group…