• Title/Summary/Keyword: subgradient estimate

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SUBGRADIENT ESTIMATES FOR A NONLINEAR SUBELLIPTIC EQUATION ON COMPLETE PSEUDOHERMITIAN MANIFOLD

  • Han, Yingbo;Jiang, Kaige;Liang, Mingheng
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.175-186
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    • 2018
  • 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.