68 citations · 94 across the 19 of their papers we have counts for
26 papers
The Liquid Drop Model with a Yukawa Potential: Existence of Minimizers and Sharp Stability of the Ball
Lia Bronsard, Kenneth DeMason, Ihsan Topaloglu
We study a long-range perturbation of the perimeter functional by a nonlocal repulsive term defined through the Yukawa kernel, minimized under a volume constraint. Because the kern…
Particle approximation of nonlocal interaction energies
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider Riesz-type nonlocal energies with general interaction kernels and their discretizations related to particle systems. We prove that the discretized energies -converge…
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…
Maximizers of nonlocal interactions of Wasserstein type
Almut Burchard, Davide Carazzato, Ihsan Topaloglu
We characterize the maximizers of a functional that involves the minimization of the Wasserstein distance between sets of equal volume. We prove that balls are the only maximizers…