Gradient estimates for positive weak solution to ${\Delta }_{p}u+a{u}^{\sigma }=0$ on Riemannian manifolds

Guangyue Huang, Qi Guo, Lujun Guo

In this paper, we study gradient estimates for positive weak solutions to the following $p$-Laplacian equation $${\Delta }_{p}u+a{u}^{\sigma }=0$$ on a Riemannian manifold, where $p>1$ and $a,\sigma$ are t…