Geodesic
Comparison Principles for Subelliptic Equations of Monge-Ampère Type
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 2, pp. 489-495.

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We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampére-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. 
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Bardi, Martino; Mannucci, Paola. Comparison Principles for Subelliptic Equations of Monge-Ampère Type. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 2, pp. 489-495. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a10/

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