Liouville theorems and new gradient estimates for positive solutions to $\hat{I}{”}_{p}v+a(v+b{)}^q=0$ on a complete manifold

Youde Wang, Linqin Zhang

In this paper, we use the Saloff-Coste Sobolev inequality and Nash-Moser iteration method to study the local and global behaviors of positive solutions to the nonlinear elliptic eq…