Inserted: 7 feb 2008
Last Updated: 1 aug 2008
Journal: Boll. Unione Mat. Ital.
Volume: 1, Serie IX
We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampère-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation of prescribed horizontal Gauss curvature in a Carnot group.