Comparison Principles for subelliptic equations of Monge-Ampere type
Analysis of PDEs
2008-02-15 v1
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.
Keywords
Cite
@article{arxiv.0802.1456,
title = {Comparison Principles for subelliptic equations of Monge-Ampere type},
author = {Martino Bardi and Paola Mannucci},
journal= {arXiv preprint arXiv:0802.1456},
year = {2008}
}