Comparison principles for some fully nonlinear subelliptic equations on the Heisenberg group

Abstract

In this paper, we prove a form of the strong comparison principle for a class of fully nonlinear subelliptic operators of the form ${\nabla }_H^2\psi +L(\cdot ,\psi ,{\nabla }_H\psi )$ on the Heisenberg group, which include the CR invariant operators.

arXiv admin note: substantial text overlap with arXiv:1612.09418