We prove a height estimate (distance from the tangent hyperplane) for -minimizers of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the excess (-mean oscillation of the normal) and its proof is based on a new coarea formula for rectifiable sets in the Heisenberg group.
"Height estimate and slicing formulas in the Heisenberg group." Anal. PDE 8 (6) 1421 - 1454, 2015. https://doi.org/10.2140/apde.2015.8.1421