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.
Vittorio Martino, Annamaria Montanari (2014). Lipschitz Continuous Viscosity Solutions for a Class of Fully Nonlinear Equations on Lie Groups. THE JOURNAL OF GEOMETRIC ANALYSIS, 24(1), 169-189 [10.1007/s12220-012-9332-2].
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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
