sharp mass-capacity inequality

Title: The Sharp $p$-Penrose Inequality Authors: Liam Mazurowski, Xuan Yao Categories: math.DG math-ph math.CA math.MP Comments: 19 pages, comments are welcome! \\ Consider a complete asymptotically flat 3-manifold $M$ with non-negative scalar curvature and non-empty minimal boundary $\Sigma$. Fix a number $1 < p < 2$. We prove a sharp mass-capacity inequality relating the ADM mass of $M$ with the $p$-capacity of $\Sigma$ in $M$. Equality holds if and only if $M$ is isometric to a spatial Schwarzschild manifold with … Continue reading “Title The Sharp $p$ Penrose Inequality Authors Liam…”