Smooth compactness of elasticae

2024/09/01 by Tatsuya Miura, Miura, Tatsuya
Agricultural and Biological Sciences · Mathematics · #49Q10 and 53A04 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications #Polysaccharides Composition and Applications

paper · pdf · doi:10.48550/arxiv.2409.00725

openalex publication_date 2024/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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