  In this work we deal with an elliptic non-linear problem, which arises
naturally from Riemannian geometry. This problem has clasically been studied in
the the Euclidean $n$-dimensional space and it is known as the Moser-Bernstein
problem. Nevertheless we solve this type of problems in a wide family of
Riemannian manifolds, constructed as Riemannian warped products. More
precicely, we study the entire solutions to the minimal hypersurface equation
in a Riemannian warped product $M=P\times_h\mathbb{R}$, where $P$ is a complete
Riemannian parabolic manifold and $h$ a positive smooth function on $P$.
