2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29838This note summarizes recent results in which modern techniques of the calculus of variations are used to obtain qualitative features of film-substrate interfaces for a broad class of interfacial energies. In particular, we show that the existence of a critical thickness for incoherency and the formation of interfacial dislocations depend strongly on the convexity and smoothness of the interfacial energy function.4 pagesCondensed Mattertext