  We consider patterns formed in a two-dimensional thin film on a planar
substrate with a Derjaguin disjoining pressure and periodic wettability
stripes. 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 steady state 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 steady state
solutions on the wettability contrast in that case.
