Inserted: 23 may 2009
Last Updated: 28 nov 2012
Journal: Math. Z.
In the Heisenberg group, we prove that the boundary of sets with finite H-perimeter and having a bound on the measure theoretic normal is an H-Lipschitz graph. Then we show that if the normal is, on the boundary, the restriction of a continuous mapping, then the boundary is an H-regular surface.
Keywords: Heisenberg group, H-perimeter, Intrinsic regular surfaces