33 citations · 156 across the 35 of their papers we have counts for
3 papers · 1 filter
On the Serrin problem for ring-shaped domains
Virginia Agostiniani, Stefano Borghini, Lorenzo Mazzieri
In this paper, we deal with the long standing open problem of characterising rotationally symmetric solutions to , when Dirichlet boundary conditions are imposed on a ring…
A Green's function proof of the Positive Mass Theorem
V. Agostiniani, L. Mazzieri, F. Oronzio
In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets of the Green's function of an a…
Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
In this paper we consider Riemannian manifolds of dimension at least , with nonnegative Ricci curvature and Euclidean Volume Growth. For every open bounded subset with smooth bo…