We study fully nonlinear partial differential equations involving the determinant of the Hessian matrix of the unknown function with respect to a family of vector fields that generate a Carnot group. We prove a comparison theorem among viscosity sub- and supersolutions, for subsolutions uniformly convex with respect to the vector fields.
Comparison principles for equations of Monge-Ampere type in Carnot groups: a direct proof
BARDI, MARTINO;MANNUCCI, PAOLA
2008
Abstract
We study fully nonlinear partial differential equations involving the determinant of the Hessian matrix of the unknown function with respect to a family of vector fields that generate a Carnot group. We prove a comparison theorem among viscosity sub- and supersolutions, for subsolutions uniformly convex with respect to the vector fields.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
