24 citations · 168 across the 32 of their papers we have counts for
16 papers · 1 filter
Stability of axial free-boundary hyperplanes in circular cones
Gian Paolo Leonardi, Giacomo Vianello
Given an axially-symmetric, -dimensional convex cone , we study the stability of the free-boundary minimal surface obtained by intersecting $Ω…
Measures in the dual of : perimeter bounds and relations with divergence-measure fields
Giovanni E. Comi, Gian Paolo Leonardi
We analyze some properties of the measures in the dual of the space , by considering (signed) Radon measures satisfying a perimeter bound condition, which means that the absolu…
The prescribed mean curvature measure equation in non-parametric form
Gian Paolo Leonardi, Giovanni Eugenio Comi
We introduce a weak formulation of the non-parametric prescribed mean curvature equation with measure data and show the existence and several properties of solutions under nat…
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi
We consider a system of hard spheres sitting on the nodes of either the or lattice and interacting via a sticky-disk potential. As tends to in…
The isoperimetric problem in d domains without necks
Gian Paolo Leonardi, Giorgio Saracco
We give a complete characterization of all isoperimetric sets contained in a domain of the Euclidean plane, that is bounded by a Jordan curve and satisfies a no-neck property. Furt…
Minimizers of the prescribed curvature functional in a Jordan domain with no necks
Gian Paolo Leonardi, Giorgio Saracco
We provide a geometric characterization of the minimal and maximal minimizer of the prescribed curvature functional among subsets of a Jordan domain with no necks o…