arXiv:0802.1456 Abstract | arXiv Analytics

arXiv:0802.1456 [math.AP]Abstract References Reviews Resources

Comparison Principles for subelliptic equations of Monge-Ampere type

Published 2008-02-11Version 1

We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-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.

Categories: math.AP

Subjects: 49L25, 35J60, 35J70, 22E30

Keywords: comparison principles, monge-ampere type, subelliptic equations, prescribed horizontal gauss curvature, monge-ampere-type equations

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