In the present work we consider a model for the evolution of a thin nonpolar liquid film an a coated solid surface under the action of attractive and repulsive molecular forces governed by a 3-4 power-law potential, rather than the Lennard-Jones 3-9 potential employed for an ideal plane interface (molecularly clean and smooth). The model is used for both volatile and nonvolatile isothermal liquid films. It is shown that in the nonvolatile case the evolution results in the emergence of static steady states consisting of liquid ridges separated by very thin films. A supercritical bifurcation from the trivial state is shown to be possible in the presence of repulsive forces, while in the presence of only attractive forces the bifurcation is subcritical. In the evaporative case the long-time evolution of the film is shown to lead to its flattening and then to its apparent vanishing. Several scenarios for the film disappearance are found. A relationship between the rate of expansion of the dry spot and the apparent contact angle is examined. The effect of thermocapillarity on the film evolution is also considered.