Lipschitz Continuous Viscosity Solutions for a Class of Fully Nonlinear Equations on Lie Groups |
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| Authors: | Vittorio Martino Annamaria Montanari |
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| Affiliation: | 1. SISSA, International School for Advanced Studies, via Bonomea, 265, 34136, Trieste, Italy
2. Dipartimento di Matematica, Università di Bologna, piazza di Porta S. Donato 5, 40127, Bologna, Italy
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| 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. |
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