Lipschitz Continuous Viscosity Solutions for a Class of Fully Nonlinear Equations on Lie Groups.

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. [ABSTRACT FROM AUTHOR]