Keller-Osserman a priori estimates and the Harnack inequality for the evolution p-Laplace equation with singular absorption term

In this paper we study quasilinear equations of typeut−div(|∇u|p−2∇u)+V(x)f(u)=0,p≥2,u≥0. Despite the lack of comparison principle, we prove a priori estimates of Keller-Osserman type. Using these estimates we give a proof of the intrinsic Harnack inequality.