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 $${\Delta }_f{v}^{\tau }+\lambda v=0$$ on a complete smooth metric measure space with $m$-Bakry-Émery Ricci curvature bounded from below, where…