Calculus of Variations and Geometric Measure Theory

V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio

Riemannian Penrose Inequality via Nonlinear Potential Theory

created by root on 23 May 2022
modified on 08 Apr 2023


Submitted Paper

Inserted: 23 may 2022
Last Updated: 8 apr 2023

Year: 2022


We provide a new proof of the Riemannian Penrose inequality by means of a monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature.