Gradient estimates for ${\Delta }_{b}u+a{u}^{p+1}=0$ on pseudo-Hermitian manifolds

Biqiang Zhao

In this paper, we derive the gradient estimates for the positive solutions of the equation ${\Delta }_{b}u+a{u}^{p+1}=0$ on complete noncompact pseudo-Hermitian manifolds, where $a>0$ a…