Nonsmooth solutions for a class of fully nonlinear PDE’s on Lie groups

Vittorio Martino,Annamaria Montanari

doi:10.1016/j.na.2015.02.009

Nonsmooth solutions for a class of fully nonlinear PDE’s on Lie groups

Vittorio Martino, Annamaria Montanari

https://doi.org/10.1016/j.na.2015.02.009

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Journal: Nonlinear Analysis	Publication Date: Mar 7, 2015
Citations: 14

Affiliation: University of Bologna

#Left-invariant Vector Fields #Lie Groups + Show 8 more

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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.

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