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arXiv · 0802.1456

Comparison Principles for subelliptic equations of Monge-Ampere type

Martino Bardi·Paola Mannucci
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Abstract

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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Martino Bardi, Paola Mannucci. 2008-02-11. Comparison Principles for subelliptic equations of Monge-Ampere type. https://arxiv.org/abs/0802.1456

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