63 citations · 104 across the 18 of their papers we have counts for
20 papers
The periodic Wulff problem in two dimensions
Marco Bonacini, Alberto Fiorini
We characterize the minimizers of the anisotropic perimeter in the flat torus under an area constraint. We show that, depending on the area, the periodic global minimizer undergoes…
Stability and minimality of the ball for attractive-repulsive energies with perimeter penalization
Marco Bonacini, Ihsan Topaloglu
We consider perimeter perturbations of a class of attractive-repulsive energies, given by the sum of two nonlocal interactions with power-law kernels, defined over sets with fixed…
A stability inequality for the planar lens partition
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
Recently it has been shown that the unique locally perimeter minimizing partitioning of the plane into three regions, where one region has finite area and the other two have infini…
Alexandrov's Soap Bubble Theorem for Polygons
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
Regular polygons are characterized as area-constrained critical points of the perimeter functional with respect to particular families of perturbations in the class of polygons wit…
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
Marco Bonacini, Flaviana Iurlano
Variational models for cohesive fracture are based on the idea that the fracture energy is released gradually as the crack opening grows. Recently, [Conti, Focardi, and Iurlano, An…
Stability of the ball for attractive-repulsive energies
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
We consider a class of attractive-repulsive energies, given by the sum of two nonlocal interactions with power-law kernels, defined over sets with fixed measure. It has recently be…