Volume 35, Issue 3
Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group

Anal. Theory Appl., 35 (2019), pp. 312-334.

Published online: 2019-04

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• Abstract

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

• Keywords

Comparison principle, subellipticity, CR invariance, Heisenberg group, propagation of touching points.