Showing 2026Show all
3 papers · 1 filter
math.DG2026
On the Weyl tube formula for nonlocal perimeters
Serena Dipierro, Jack Thompson, Enrico Valdinoci
We study the asymptotic behaviour of the nonlocal perimeter of tubular neighbourhoods. For a closed submanifold of Euclidean space, we show that a suitable rescaling of t…
math.AP2026
Volumetric density estimates for nonlocal minimal surfaces
Mateusz Kwaśnicki, Jack Thompson
In this article, we prove that viscosity subsolutions to nonlocal mean curvature-type equations satisfy universal volumetric estimates at all scales. Our results hold for general s…
math.AP2026
A half-space theorem for nonlocal minimal surfaces
Matteo Cozzi, Jack Thompson
We establish a half-space theorem à la Hoffman and Meeks for nonlocal minimal surfaces. Differently from the classical case, our result holds in every dimension.