3 papers
math.MG2026
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…
math.AP2026
Non-local planelike minimizers and -convergence of periodic energies to a local anisotropic perimeter
Serena Dipierro, Matteo Novaga, Enrico Valdinoci +1
We investigate a homogenization problem related to a non-local interface energy with a periodic forcing term. We show the existence of planelike minimizers for such energy. Moreove…
math.AP2025
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…