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 09 Aug 2022

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Preprint

Inserted: 23 may 2022
Last Updated: 9 aug 2022

Year: 2022

Abstract:

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.


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