Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group

Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group

Year:    2017

Author:    Yazhou Han, Xiaodong Wang, Meijun Zhu

Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 17–27

Abstract

In this paper we prove that two calculus lemmas, which are used in the method of moving sphere for classifying certain constant curvature equation, also hold on Heisenberg group $\mathbb{H}^n$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v50n1.17.02

Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 17–27

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Classification moving sphere method Heisenberg group.

Author Details

Yazhou Han

Xiaodong Wang

Meijun Zhu

  1. A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group

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    https://doi.org/10.1142/S0219199721500607 [Citations: 8]