Bardi, Martino and Mannucci, Paola:
Comparison Principles for Subelliptic Equations of Monge-Ampère Type
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.2, p. 489-495, (English)
pdf (319 Kb), djvu (80 Kb). | MR 2424306 | Zbl 1203.35081
Sunto
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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Con il contributo del Ministero per i Beni e le Attività Culturali