V. Barone Adesi, F. Serra Cassano, D. Vittone
Published 2006-08-03Version 1
In this paper we deal with some problems concerning minimal hypersurfaces in Carnot-Caratheodory (CC) structures. More precisely we will introduce a general calibration method in this setting and we will study the Bernstein problem for entire regular intrinsic minimal graphs in a meaningful and simpler class of CC spaces, i.e. the Heisenberg group H^n. In particular we will positively answer to the Bernstein problem in the case n=1 and we will provide counterexamples when n>=5.
Boundedness of singular integrals on $C^{1,α}$ intrinsic graphs in the Heisenberg group
Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group
Dorronsoro's theorem in Heisenberg groups
![QR code for arXiv:math/0608092 [math.CA]](http://oss.arxitics.com/images/favicon.svg)