  We consider pattern formation in a two-dimensional thin film on a planar
substrate with a Derjaguin disjoining pressure and periodic wettability stripes
in one of the directions. We rigorously clarify some of the results obtained
numerically by Honisch et al. and embed them in the general theory of thin-film
equations. For the case of constant wettability, we elucidate the change in the
global structure of branches of stationary solutions as the average film
thickness and the surface tension are varied. Specifically we find, by using
methods of local bifurcation theory and the continuation software package AUTO,
both nucleation and metastable regimes. We discuss admissible forms of
spatially non-homogeneous disjoining pressure, arguing for a form that differs
from the one used by Honisch et al. , and study the dependence of the
stationary solutions on the wettability contrast in that case.
