Optimal higher regularity for biharmonic maps via quantitative stratification
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913828961255424 |
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| author | Guo, Chang-Yu Jiang, Gui-Chun Xiang, Chang-Lin Zheng, Gao-Feng |
| author_facet | Guo, Chang-Yu Jiang, Gui-Chun Xiang, Chang-Lin Zheng, Gao-Feng |
| contents | This little note is devoted to refining the almost optimal regularity results of Breiner and Lamm \cite{Breiner-Lamm-2015} on minimizing and stationary biharmonic maps via the powerful quantitative stratification method introduced by Cheeger and Naber \cite{Cheeger-Naber-2013} and further developed by Naber and Valtorta \cite{Naber-V-2017,Naber-V-2018} for harmonic maps. In particular, we obtain an optimal regularity results for minimizing biharmonic maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11177 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal higher regularity for biharmonic maps via quantitative stratification Guo, Chang-Yu Jiang, Gui-Chun Xiang, Chang-Lin Zheng, Gao-Feng Analysis of PDEs Differential Geometry 53C43, 35J48 This little note is devoted to refining the almost optimal regularity results of Breiner and Lamm \cite{Breiner-Lamm-2015} on minimizing and stationary biharmonic maps via the powerful quantitative stratification method introduced by Cheeger and Naber \cite{Cheeger-Naber-2013} and further developed by Naber and Valtorta \cite{Naber-V-2017,Naber-V-2018} for harmonic maps. In particular, we obtain an optimal regularity results for minimizing biharmonic maps. |
| title | Optimal higher regularity for biharmonic maps via quantitative stratification |
| topic | Analysis of PDEs Differential Geometry 53C43, 35J48 |
| url | https://arxiv.org/abs/2401.11177 |