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.
Martino, V., Montanari, A. (2015). Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups. NONLINEAR ANALYSIS, 126, 115-130 [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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