Mathematics > Analysis of PDEs
[Submitted on 1 Sep 2024
(v1)
, last revised 20 Oct 2024 (this version, v2)]
Title: Smooth compactness of elasticae
Title: 弹性曲线的光滑紧性
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.
Submission history
From: Tatsuya Miura [view email][v1] Sun, 1 Sep 2024 13:59:52 UTC (41 KB)
[v2] Sun, 20 Oct 2024 05:21:42 UTC (42 KB)
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