| Title | Stability of equilibrium configurations for elastic films in two and three dimensions |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Bonacini, M |
| Journal | Advances in Calculus of Variations |
| Volume | 8 |
| Issue | 2 |
| Start Page | 117 |
| Pagination | 117-153 |
| Date Published | 01/2014 |
| ISSN | Online: 1864-8266; Print: 1864-8258 |
| Keywords | Epitaxially strained elastic films |
| 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. |
| URL | https://www.degruyter.com/view/j/acv.2015.8.issue-2/acv-2013-0018/acv-2013-0018.xml |
| DOI | 10.1515/acv-2013-0018 |
Research Group: