Examples of $p$-harmonic maps
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915155576619008 |
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| author | Balci, Anna Behn, Linus Diening, Lars Storn, Johannes |
| author_facet | Balci, Anna Behn, Linus Diening, Lars Storn, Johannes |
| contents | We construct explicit examples of $p$-harmonic maps $u:\mathbb{R}^n \to \mathbb{R}^N$. These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of $p$-harmonic maps, including the case of $\infty$-harmonic maps. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Examples of $p$-harmonic maps Balci, Anna Behn, Linus Diening, Lars Storn, Johannes Analysis of PDEs 35J60, 35B65, 11E39, 11E25, 35J92, 35J94, 35J47 We construct explicit examples of $p$-harmonic maps $u:\mathbb{R}^n \to \mathbb{R}^N$. These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of $p$-harmonic maps, including the case of $\infty$-harmonic maps. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra. |
| title | Examples of $p$-harmonic maps |
| topic | Analysis of PDEs 35J60, 35B65, 11E39, 11E25, 35J92, 35J94, 35J47 |
| url | https://arxiv.org/abs/2502.12059 |