4 citations · 10 across the 6 of their papers we have counts for
7 papers
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…
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…
Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity
Marco Bonacini, Riccardo Cristoferi
We consider a variational model for periodic partitions of the upper half-space into three regions, where two of them have prescribed volume and are subject to the geometrical cons…
Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
We consider Riesz-type nonlocal interaction energies over polygons. We prove the analog of the Riesz inequality in this discrete setting for triangles and quadrilaterals, and obtai…
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
We consider the minimization of an energy functional given by the sum of a crystalline perimeter and a nonlocal interaction of Riesz type, under volume constraint. We show that, in…
Piecewise constant reconstruction of damaged color images
Riccardo Cristoferi, Irene Fonseca
A variational model for reconstruction of damaged color images is studied, in particular in the case where only finitely many colors are admissible for the reconstructed image. An…