33 citations · 156 across the 35 of their papers we have counts for
4 papers · 1 filter
On the Isoperimetric Riemannian Penrose Inequality
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
We prove that the Riemannian Penrose Inequality holds for Asymptotically Flat -manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal d…
The asymptotic behaviour of -capacitary potentials in Asymptotically Conical manifolds
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
We study the asymptotic behaviour of the -capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannia…
Riemannian Penrose inequality via Nonlinear Potential Theory
Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri +1
We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly…
A note on the critical Laplace Equation and Ricci curvature
Mattia Fogagnolo, Andrea Malchiodi, Lorenzo Mazzieri
We study strictly positive solutions to the critical Laplace equation \[ - Δu = n(n-2) u^{\frac{n+2}{n-2}}, \] decaying at most like , on complete noncompact ma…