Volume 50, Issue 1
Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group

Yazhou Han, Xiaodong Wang & Meijun Zhu

J. Math. Study, 50 (2017), pp. 17-27.

Published online: 2017-03

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  • 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 $\mathbb{H}^n$.

  • AMS Subject Headings

35H20, 22E30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yazhou.han@gmail.com (Yazhou Han)

xwang@math.msu.edu (Xiaodong Wang)

mzhu@ou.edu (Meijun Zhu)

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  • RIS
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@Article{JMS-50-17, author = {Han , YazhouWang , Xiaodong and Zhu , Meijun}, title = {Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group}, journal = {Journal of Mathematical Study}, year = {2017}, volume = {50}, number = {1}, pages = {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 $\mathbb{H}^n$.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n1.17.02}, url = {http://global-sci.org/intro/article_detail/jms/977.html} }
TY - JOUR T1 - Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group AU - Han , Yazhou AU - Wang , Xiaodong AU - Zhu , Meijun JO - Journal of Mathematical Study VL - 1 SP - 17 EP - 27 PY - 2017 DA - 2017/03 SN - 50 DO - http://doi.org/10.4208/jms.v50n1.17.02 UR - https://global-sci.org/intro/article_detail/jms/977.html KW - Classification, moving sphere method, Heisenberg group. AB -

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 $\mathbb{H}^n$.

Yazhou Han, Xiaodong Wang & Meijun Zhu. (2020). Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group. Journal of Mathematical Study. 50 (1). 17-27. doi:10.4208/jms.v50n1.17.02
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