Asymptotic behaviour to a heat equation with a delayed control in the source term
Comparison Principles for Subelliptic Equations of Monge-Ampère Type
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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