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Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board: Armstrong, Scott N. / Balogh, Zoltán / Cardiliaguet, Pierre / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Gianazza, Ugo / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / Mingione, Giuseppe / Nystrom, Kaj / Riviére, Tristan / Schaetzle, Reiner / Shen, Zhongwei / Silvestre, Luis / Tonegawa, Yoshihiro / Touzi, Nizar / Wang, Guofang


IMPACT FACTOR 2018: 2.316

CiteScore 2018: 1.77

SCImago Journal Rank (SJR) 2018: 2.350
Source Normalized Impact per Paper (SNIP) 2018: 1.465

Mathematical Citation Quotient (MCQ) 2018: 1.44

Online
ISSN
1864-8266
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Volume 8, Issue 2

Issues

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

Marco Bonacini
Published Online: 2014-01-29 | DOI: https://doi.org/10.1515/acv-2013-0018

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.

Keywords: Epitaxially strained elastic films; second variation; local minimality

MSC: 49K10; 74G65; 74K35; 74G55

About the article

Received: 2013-08-07

Revised: 2013-11-10

Accepted: 2013-11-14

Published Online: 2014-01-29

Published in Print: 2015-04-01


Citation Information: Advances in Calculus of Variations, Volume 8, Issue 2, Pages 117–153, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2013-0018.

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