Subgradient estimates for a nonlinear subelliptic equation on complete pseudohermitian manifold

摘要

Let (M,J,θ) be a complete pseudohermintian (2n+1)-mani-fold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subelliptic equation △bu+aulogu+bu=0 on M, where a≤0, b are two real constants.