  In this manuscript we study the relation between viscosity and weak solutions
for non-homogeneous p-Laplace equations with lower order term depending on $x$,
$u$ and $\nabla u$. More precisely, we prove that any locally bounded viscosity
solution constitutes a weak solution, extending previous results by Juutinen,
Lindqvist and Manfredi on the homogeneous case, and Julin and Juutinen for a
linear right hand side. Moreover, we provide a converse statement in the full
case under extra assumptions on the regularity of the solutions.
