On fully nonlinear CR invariant equations on the Heisenberg group
Analysis of PDEs
2010-11-02 v1 Differential Geometry
Abstract
In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclidean setting by A. Li and the first author (2003). We also prove a comparison principle for solutions of second order fully nonlinear CR invariant equations defined on bounded domains of the Heisenberg group and a comparison principle for solutions of a family of second order fully nonlinear equations on a punctured ball.
Keywords
Cite
@article{arxiv.1011.0092,
title = {On fully nonlinear CR invariant equations on the Heisenberg group},
author = {Yanyan Li and Dario Daniele Monticelli},
journal= {arXiv preprint arXiv:1011.0092},
year = {2010}
}
Comments
39 pages