21 citations · 22 across the 3 of their papers we have counts for
6 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 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…
Minkowski Inequalities via Nonlinear Potential Theory
Virginia Agostiniani, Mattia Fogagnolo, Lorenzo Mazzieri
In this paper, we prove an extended version of the Minkowski Inequality, holding for any smooth bounded set , . Our proof relies on the discovery of…
Dimension reduction via Gamma-convergence for soft active materials
Virginia Agostiniani, Antonio DeSimone
We present a rigorous derivation of dimensionally reduced theories for thin sheets of nematic elastomers, in the finite bending regime. Focusing on the case of twist nematic textur…
Shape programming for narrow ribbons of nematic elastomers
Virginia Agostiniani, Antonio DeSimone, Konstantinos Koumatos
Using the theory of -convergence, we derive from three-dimensional elasticity new one-dimensional models for non-Euclidean elastic ribbons, i.e. ribbons exhibiting spontaneous c…
On the geometry of the level sets of bounded static potentials
Virginia Agostiniani, Lorenzo Mazzieri
In this paper we present a new approach to the study of asymptotically flat static metrics arising in general relativity. In the case where the static potential is bounded, we intr…