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arXiv · 1308.1537

Stability of equilibrium configurations of elastic films in two and three dimensions

Marco Bonacini
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Abstract

We establish a local minimality sufficiency criterion, based on the strict positivity of the second variation, in the context of a variational model for the epitaxial growth of elastic films. Our result holds also in the three-dimensional case and for a general class of nonlinear elastic energies. Applications to the study of the local minimality of flat morphologies are also shown.

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Marco Bonacini. 2013-08-07. Stability of equilibrium configurations of elastic films in two and three dimensions. https://doi.org/10.1515/acv-2013-0018

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