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

Marco Bonacini 1
  • 1 SISSA, Via Bonomea 265, 34136 Trieste, Italy

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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