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

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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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     author = {Bardi, Martino and Mannucci, Paola},
     title = {Comparison {Principles} for {Subelliptic} {Equations} of {Monge-Amp\`ere} {Type}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {489--495},
     publisher = {mathdoc},
     volume = {Ser. 9, 1},
     number = {2},
     year = {2008},
     zbl = {1203.35081},
     mrnumber = {2424306},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a10/}
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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/