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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorBonacini, Marco
dc.date.accessioned2013-08-08T07:46:37Z
dc.date.available2013-08-08T07:46:37Z
dc.date.issued2013-08
dc.description.abstractWe 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/7006
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesSISSA preprint;SISSA 38/2013/MATE
dc.subject.keywordEpitaxially strained elastic filmsen_US
dc.subject.keywordSecond variationen_US
dc.subject.keywordLocal minimalityen_US
dc.subject.miurMAT/05 ANALISI MATEMATICA
dc.titleStability of equilibrium configurations for elastic films in two and three dimensionsen_US
dc.typePreprinten_US
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