Calculus of Variations and Geometric Measure Theory
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B. De Maria - N. Fusco

Regularity properties of equilibrium configurations of epitaxially strained elastic films

created by fuscon on 04 May 2011


Submitted Paper

Inserted: 4 may 2011

Year: 2011


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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