Abstract
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.
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De Maria, B., Fusco, N. (2012). Regularity properties of equilibrium configurations of epitaxially strained elastic films. In: Mingione, G. (eds) Topics in Modern Regularity Theory. CRM Series, vol 13. Edizioni della Normale. https://doi.org/10.1007/978-88-7642-427-4_3
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DOI: https://doi.org/10.1007/978-88-7642-427-4_3
Publisher Name: Edizioni della Normale
Print ISBN: 978-88-7642-426-7
Online ISBN: 978-88-7642-427-4
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