Viscosity subsolutions to nonlocal mean curvature-type equations satisfy universal volumetric estimates at all scales, and low-density ones necessarily have topological boundaries with positive Lebesgue measure.
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Volumetric density estimates for nonlocal minimal surfaces
Viscosity subsolutions to nonlocal mean curvature-type equations satisfy universal volumetric estimates at all scales, and low-density ones necessarily have topological boundaries with positive Lebesgue measure.