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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.12804 |
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| _version_ | 1866916653942439936 |
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| author | Wang, Changyou |
| author_facet | Wang, Changyou |
| contents | For a ball $B_R(0)\subset\mathbb{R}^2$, we provide sufficient conditions such that a harmonic map $u\in C^\infty(B_R(0)\setminus\{0\}, N)$, with a self-similar bound on its gradient, belongs to $C^\infty(B_R(0))$. Those conditions also guarantee the triviality of such harmonic maps when $R=\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on isolated removable singularity of harmonic maps in dimension two Wang, Changyou Analysis of PDEs For a ball $B_R(0)\subset\mathbb{R}^2$, we provide sufficient conditions such that a harmonic map $u\in C^\infty(B_R(0)\setminus\{0\}, N)$, with a self-similar bound on its gradient, belongs to $C^\infty(B_R(0))$. Those conditions also guarantee the triviality of such harmonic maps when $R=\infty$. |
| title | A remark on isolated removable singularity of harmonic maps in dimension two |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.12804 |