Accepted Paper

Inserted: 9 feb 2016
Last Updated: 9 feb 2016

Journal: Nonlinear Analysis Series A: Theory, Methods & Applications
Year: 2016

Abstract:

In this paper we consider a set $E\subset\Om$ with prescribed mean curvature $f\in C(\Om)$ and Euclidean Lipschitz boundary $\partial E=\Sg$ inside a three-dimensional contact sub-Riemannian manifold $M$. We prove that if $\Sg$ is locally a regular intrinsic graph, the characteristic curves are of class $C^2$. The result is shape and improves the ones contained in \cite{MR2583494} and \cite{GalRit15}.

Download:

• lipschitzrevised.pdf