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

被引：11
|
作者：
Bonacini, Marco [1 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
来源：
ADVANCES IN CALCULUS OF VARIATIONS | 2015年 / 8卷 / 02期
关键词：
Epitaxially strained elastic films; second variation; local minimality; 2ND VARIATION; REGULARITY; MINIMALITY; EXISTENCE; BOUNDARY; THEOREM;
D O I：
10.1515/acv-2013-0018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：117 / 153
页数：37
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