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math.AP2020
A geometric capacitary inequality for sub-static manifolds with harmonic potentials
Virginia Agostiniani, Lorenzo Mazzieri, Francesca Oronzio
In this paper, we prove that associated with a sub-static asymptotically flat manifold endowed with a harmonic potential there is a one-parameter family of functions whic…
math.DG2020
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds
Mattia Fogagnolo, Lorenzo Mazzieri
The notion of strictly outward minimising hull is investigated for open sets of finite perimeter sitting inside a complete noncompact Riemannian manifold. Under natural geometric a…