Stability of equilibrium configurations of elastic films in two and three dimensions (1308.1537v1)

Published 7 Aug 2013 in math.AP

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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Authors (1)

Marco Bonacini

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