Local and Global Log-Gradient estimates of solutions to ${\Delta }_{p}v+b{v}^q+c{v}^r=0$ on manifolds and applications

Jie He, Yuanqing Ma, Youde Wang

In this paper, we employ the Nash-Moser iteration technique to study local and global properties of positive solutions to the equation $${\Delta }_{p}v+b{v}^q+c{v}^r=0$$ on complete Riemannian…