About: Existence, regularity and structure of confined elasticae

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/w
Subject	Nonsmooth analysis Regularity of solutions Optimization of shapes other than minimal surfaces Curves in Euclidean space bending energy confined curves Minimization elastic energy
Title	Existence, regularity and structure of confined elasticae
Date	2017-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/m/print http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/authorship/1 http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/authorship/2 http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/authorship/3
Author	Novaga, Matteo Dayrens, François Masnou, Simon
Abstract	We consider the problem of minimizing the bending or elastic energy among Jordan curves confined in a given open set Ω. We prove existence, regularity and some structural properties of minimizers. In particular, when Ω is convex we show that a minimizer is necessarily a convex curve. We also provide an example of a minimizer with self-intersections.
article type	research-article
publisher identifier	cocv160098
Date Copyrighted	2017-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI 2017
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2017/volume_24/issue_1/cocv160098/w/record

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