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.
Existence, regularity and structure of confined elasticae
Novaga, Matteo
2018-01-01
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
