In this paper we prove the existence of nonsmooth 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.
Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups / Martino, Vittorio; Montanari, Annamaria. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 126:(2015), pp. 10464.115-10464.130. [10.1016/j.na.2015.02.009]
Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups
MARTINO, VITTORIO;MONTANARI, ANNAMARIA
2015
Abstract
In this paper we prove the existence of nonsmooth 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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