68 citations · 68 across the 2 of their papers we have counts for
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.AP2014★ 68 cited
Existence of Ground States of Nonlocal-Interaction Energies
Robert Simione, Dejan Slepčev, Ihsan Topaloglu
We investigate which nonlocal-interaction energies have a ground state (global minimizer). We consider this question over the space of probability measures and establish a sharp co…