3 papers
math.AP2024
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…
math.AP2024
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…
math.AP2020
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…