Smooth compactness of elasticae
Analysis of PDEs
2025-11-19 v3 Differential Geometry
Abstract
We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers with respect to clamped boundary data.
Cite
@article{arxiv.2409.00725,
title = {Smooth compactness of elasticae},
author = {Tatsuya Miura},
journal= {arXiv preprint arXiv:2409.00725},
year = {2025}
}
Comments
14 pages, 3 figures, final version, to appear in MATRIX Annals