  We present the formal geometric derivation of a nonequilibrium growth model
that takes the form of a parabolic partial differential equation. Subsequently,
we study its stationary radial solutions by means of variational techniques.
Our results depend on the size of a parameter that plays the role of the
strength of forcing. For small forcing we prove the existence and multiplicity
of solutions to the elliptic problem. We discuss our results in the context of
nonequilibrium statistical mechanics.
