Stability of flat-core pinned p-elasticae
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911105417216000 |
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| author | Miura, Tatsuya Yoshizawa, Kensuke |
| author_facet | Miura, Tatsuya Yoshizawa, Kensuke |
| contents | We classify the stability of flat-core $p$-elasticae in $\mathbf{R}^d$ subject to the pinned boundary condition. Together with previous work, this completes the classification of stable pinned $p$-elasticae in $\mathbf{R}^d$ for all $p\in(1,\infty)$ and $d\geq2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10314 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of flat-core pinned p-elasticae Miura, Tatsuya Yoshizawa, Kensuke Analysis of PDEs Differential Geometry 49Q10 and 53A04 We classify the stability of flat-core $p$-elasticae in $\mathbf{R}^d$ subject to the pinned boundary condition. Together with previous work, this completes the classification of stable pinned $p$-elasticae in $\mathbf{R}^d$ for all $p\in(1,\infty)$ and $d\geq2$. |
| title | Stability of flat-core pinned p-elasticae |
| topic | Analysis of PDEs Differential Geometry 49Q10 and 53A04 |
| url | https://arxiv.org/abs/2508.10314 |