17 citations · 60 across the 39 of their papers we have counts for
51 papers
The truncated octahedron minimizes surface area among parallelohedra of equal volume
Annalisa Cesaroni, Matteo Novaga
We prove that the regular truncated octahedron uniquely minimizes surface area among all parallelohedra of fixed volume. Equivalently, every three-dimensional parallelohedron s…
Local minimality of the truncated octahedron for the isoperimetric problem on parallelohedra
Annalisa Cesaroni, Matteo Novaga
We investigate the isoperimetric problem for the Voronoi cells of three-dimensional lattices. Using Selling parameters, we derive an explicit closed formula for the scale-invariant…
On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
We consider a min-max problem for strictly concave conservation laws on a 1-1 network, with inflow controls acting at the junction. We investigate the minimization problem for a fu…
A note on the honeycomb optimality among periodic convex tilings
Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga
We show that the hexagonal honeycomb is optimal among convex periodic tessellations of the plane, provided the cost functional is lower semicontinuous with respect to the Hausdorff…
Minimal periodic foams with fixed inradius
Annalisa Cesaroni, Matteo Novaga
In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or…
Lattice tilings minimizing nonlocal perimeters
Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga
We prove the existence of periodic tessellations of minimizing a general nonlocal perimeter functional, defined as the interaction between a set and its complement t…