Regularity properties of equilibrium configurations of epitaxially strained elastic films
Bruno De Maria, Nicola Fusco · Edizioni della Normale eBooks · 2012
We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.