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 / Vittorio Martino; Annamaria Montanari. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - STAMPA. - 24:1(2014), pp. 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:
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