Showing math.APShow all
2 papers · 1 filter
math.AP2026
Optimal sets for a geometric oscillation energy
Matteo Novaga, Fumihiko Onoue, Emanuele Paolini
We investigate the nonlocal energy corresponding to the -oscillation of the unit normal vector for hypersurfaces, or the unit tangent vector for curves. The energy satisfies geo…
math.AP2025
Existence of a non-standard isoperimetric triple partition
Matteo Novaga, Emanuele Paolini, Vincenzo Maria Tortorelli
We show existence of a isoperimetric -partition of , with one set of finite volume and two of infinite volume, which is asymptotic to a singular minimal cone.