TY - JOUR
T1 - Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group
AU - Li , Yanyan
AU - Wang , Bo
JO - Analysis in Theory and Applications
VL - 3
SP - 312
EP - 334
PY - 2019
DA - 2019/04
SN - 35
DO - http://doi.org/10.4208/ata.OA-0010
UR - https://global-sci.org/intro/article_detail/ata/13118.html
KW - Comparison principle, subellipticity, CR invariance, Heisenberg group, propagation of touching points.
AB - <p style="text-align: justify;">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.</p>