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.

35J60, 35J70, 35B51, 35B65, 35D40, 53C21, 58J70

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@Article{ATA-35-312, author = {}, 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 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.

YanYan Li & Bo Wang. (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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