5 papers · 1 filter
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…
A note on the honeycomb optimality among periodic convex tilings
Annalisa Cesaroni, Ilaria FragalÃ, 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 with minimal perimeter and unequal volumes
Francesco Nobili, Matteo Novaga
We study periodic tessellations of the Euclidean space with unequal cells arising from the minimization of perimeter functionals. Existence results and qualitative properties of mi…
Time-fractional Allen-Cahn equations versus powers of the mean curvature
Serena Dipierro, Matteo Novaga, Enrico Valdinoci
We show by a formal asymptotic expansion that level sets of solutions of a time-fractional Allen-Cahn equation evolve by a geometric flow whose normal velocity is a positive power…