The streamlines of $\infty$-harmonic functions obey the inverse mean curvature flow

Roger Moser

Given an $\infty$-harmonic function $u_{\infty }$ on a domain $\Omega \subseteq {\mathbb{R}}^2$, consider the function $w=-\log |\nabla u_{\infty }|$. If $u_{\infty }\in C^2(\Omega )$ with $\nabla u_\…