  This paper studies global a priori gradient estimates for divergence-type
equations patterned over the $p$-Laplacian with first-order terms having
polynomial growth with respect to the gradient, under suitable integrability
assumptions on the source term of the equation. The results apply to elliptic
problems with unbounded data in Lebesgue spaces complemented with Neumann
boundary conditions posed on convex domains of the Euclidean space.
