In this paper, we mainly investigate some local and global properties of positive solutions to the degenerate elliptic equation Δp u + a∇ uᵖ + b uq eᶜ u= 0 defined on a Riemannian manifold. We establish Cheng-Yau type gradient estimates for positive solutions of this equation. As corollaries, we derive Harnack inequalities and Liouville theorems for such solutions.
Xiaowei et al. (Sun,) studied this question.