3 papers
math.AP2026
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…
math.OC2025
On the emergence of almost-honeycomb structures in low-energy planar clusters
Marco Caroccia, Kenneth DeMason, Francesco Maggi
Several commonly observed physical and biological systems are arranged in shapes that closely resemble an honeycomb cluster, that is, a tessellation of the plane by regular hexagon…
math.AP2024
A Strong Form of the Quantitative Wulff Inequality for Crystalline Norms
Kenneth DeMason
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding Wulff shape, is proven for $n\geq 3…