期刊
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
卷 24, 期 1, 页码 25-43出版社
EDP SCIENCES S A
DOI: 10.1051/cocv/2016073
关键词
Minimization; confined curves; elastic energy; bending energy
资金
- French Agence Nationale de la Recherche (ANR) [ANR-12-BS01-0014-01]
- Italian CNR-GNAMPA
- University of Pisa [PRA-2015-0017]
We consider the problem of minimizing the bending or elastic energy among Jordan curves confined in a given open set Omega. We prove existence, regularity and some structural properties of minimizers. In particular, when Omega is convex we show that a minimizer is necessarily a convex curve. We also provide an example of a minimizer with self-intersections.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据