Abstract
We consider the problem of minimizing the bending or elastic energy among Jordan curves confined in a given open setΩ. We prove existence, regularity and some structural properties of minimizers. In particular, whenΩis convex we show that a minimizer is necessarily a convex curve. We also provide an example of a minimizer with self-intersections.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have