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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2503.21523 |
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| _version_ | 1866909555290537984 |
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| author | Martino, Dorian Mazowiecka, Katarzyna Rodiac, Rémy |
| author_facet | Martino, Dorian Mazowiecka, Katarzyna Rodiac, Rémy |
| contents | In this article, we show that sequences of $(n+α)$-harmonic maps with a free boundary in $\mathbb S^{d-1}$, where $α$ is a parameter tending to zero, converge to a bubble tree. For such sequences, we prove in detail that the limiting energy is equal to the energy of the macroscopic limit plus the sum of the energies of certain ``bubbles'', each multiplied by a corresponding coefficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21523 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A weak energy identity for $(n+α)$-harmonic maps with a free boundary in a sphere Martino, Dorian Mazowiecka, Katarzyna Rodiac, Rémy Analysis of PDEs In this article, we show that sequences of $(n+α)$-harmonic maps with a free boundary in $\mathbb S^{d-1}$, where $α$ is a parameter tending to zero, converge to a bubble tree. For such sequences, we prove in detail that the limiting energy is equal to the energy of the macroscopic limit plus the sum of the energies of certain ``bubbles'', each multiplied by a corresponding coefficient. |
| title | A weak energy identity for $(n+α)$-harmonic maps with a free boundary in a sphere |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.21523 |