Comparison Principles for subelliptic equations of Monge-Ampere type

Details Comparison Principles for subelliptic equations of Monge-Ampere type Comparison Principles for subelliptic equations of Monge-Ampere type

2008-02-11

arxiv.org/abs/0802.1456v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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