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

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.

preprint2013arXivOpen access
Marco Bonacini
math.AP
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Marco Bonacini

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