On the inequality $F(x,D^2u) \geq f(u)+g(u)|Du|^q$

Italo Capuzzo Dolcetta, Fabiana Leoni, Antonio Vitolo

Published 2015-01-27Version 1

We consider fully nonlinear degenerate elliptic equations with zero and first order terms. We provide a priori upper bounds and characterize the existence of entire subsolutions under growth conditions on the lower order coefficients which extend the classical Keller--Osserman condition for semilinear equations.