Inserted: 7 oct 2014
Last Updated: 4 nov 2016
Journal: Analysis and PDE
Doi: DOI: 10.2140/apde.2015.8.1421
We prove a height-estimate (distance from the tangent hyperplane) for $\Lambda$-minima of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the excess ($L^2$-mean oscillation of the normal) and its proof is based on a new coarea formula for rectifiable sets in the Heisenberg group.