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.
Stability of equilibrium configurations for elastic films in two and three dimensions / Bonacini, Marco. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 8:2(2015), pp. 117-153. [10.1515/acv-2013-0018]
Stability of equilibrium configurations for elastic films in two and three dimensions
Bonacini, Marco
2015-01-01
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.File in questo prodotto:
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