대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권1호
  • /
  • Pages.175-186
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  • 2018
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2016.11.16
  • 심사 : 2017.03.31
  • 발행 : 2018.01.31
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초록

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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과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, China Scholarship Council, XYNU

참고문헌

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