Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SUBGRADIENT ESTIMATES FOR A NONLINEAR SUBELLIPTIC EQUATION ON COMPLETE PSEUDOHERMITIAN MANIFOLD

  • Han, Yingbo (School of Mathematics and Statistics Xinyang Normal University) ;
  • Jiang, Kaige (School of Mathematics and Statistics Xinyang Normal University) ;
  • Liang, Mingheng (King's College London)
  • Received : 2016.11.16
  • Accepted : 2017.03.31
  • Published : 2018.01.31
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Abstract

Let (M, J, ${\theta}$) be a complete pseudohermintian (2n+1)-manifold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subelliptic equation ${\Delta}_bu+au{\log}u+bu=0$ on M, where $a{\leq}0$, b are two real constants.

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Acknowledgement

Supported by : National Natural Science Foundation of China, China Scholarship Council, XYNU

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