In this paper, we prove existence and uniqueness of Lipschitz continuous viscosity solutions for Dirichlet problems involving a class a fully non-linear operators on Lie groups. In particular, we consider the elementary symmetric functions of the eigenvalues of the Hessian built with left-invariant vector fields.
Lipschitz Continuous Viscosity Solutions for a Class of Fully Nonlinear Equations on Lie Groups
MARTINO, VITTORIO;MONTANARI, ANNAMARIA
2014
Abstract
In this paper, we prove existence and uniqueness of Lipschitz continuous viscosity solutions for Dirichlet problems involving a class a fully non-linear operators on Lie groups. In particular, we consider the elementary symmetric functions of the eigenvalues of the Hessian built with left-invariant vector fields.File in questo prodotto:
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