@Article{ATA-35-312,
author = {Li , Yanyan and Wang , Bo},
title = {Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group},
journal = {Analysis in Theory and Applications},
year = {2019},
volume = {35},
number = {3},
pages = {312--334},
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.
},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0010},
url = {http://global-sci.org/intro/article_detail/ata/13118.html}
}
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 -
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.
Li , Yanyan and Wang , Bo. (2019). Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group.
Analysis in Theory and Applications. 35 (3).
312-334.
doi:10.4208/ata.OA-0010
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