Inserted: 7 aug 2013
Last Updated: 12 may 2015
Journal: Adv. Calc. Var.
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.
Keywords: second variation, Epitaxially strained elastic films, Local minimality