2 papers
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.AP2024
Shape optimisation for nonlocal anisotropic energies
Riccardo Cristoferi, Maria Giovanna Mora, Lucia Scardia
In this paper we consider shape optimisation problems for sets of prescribed mass, where the driving energy functional is nonlocal and anisotropic. More precisely, we deal with the…