Cheng-Yau logarithmic gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces

Cheng Jin, Youde Wang, Fanqi Zeng

In this paper, we consider the nonlinear elliptic equation $$\hat{I}{”}_f{v}^{\ddot{I}}„+\hat{I}»v=0$$ on a complete smooth metric measure space with $m$-Bakry-Émery Ricci curvature bounded from below, wh…