Equilibrium configurations of epitaxially strained thin films (Q991051)

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scientific article; zbMATH DE number 5777597
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Equilibrium configurations of epitaxially strained thin films
scientific article; zbMATH DE number 5777597

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    Equilibrium configurations of epitaxially strained thin films (English)
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    2 September 2010
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    Summary: We present some regularity results on equilibrium configurations for a variational model introduced to describe the epitaxial growth of an elastic film over a thick flat substrate when a lattice mismatch between the two materials is present. We also give a sufficient condition for local minimality based on second variation and apply it to determine analitycally the critical threshold for the local minimality of the flat configuration.
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    free boundary problems
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    regularity
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    local minimality
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    second variation
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