Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913126203523072 |
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| author | Guo, Chang-Yu Wang, Changyou Xiang, Chang-Lin |
| author_facet | Guo, Chang-Yu Wang, Changyou Xiang, Chang-Lin |
| contents | Energy identity for harmonic type maps in supercritical dimensions is an important and difficult problem. For sphere-valued harmonic maps, the first breakthrough was achieved by Lin-Rivière [Duke Math. J. 2002]. In this paper, by adapting their strategy, we establish the energy identity for stationary biharmonic maps into spheres in supercritical dimensions $n\ge 5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14052 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions Guo, Chang-Yu Wang, Changyou Xiang, Chang-Lin Analysis of PDEs Differential Geometry Energy identity for harmonic type maps in supercritical dimensions is an important and difficult problem. For sphere-valued harmonic maps, the first breakthrough was achieved by Lin-Rivière [Duke Math. J. 2002]. In this paper, by adapting their strategy, we establish the energy identity for stationary biharmonic maps into spheres in supercritical dimensions $n\ge 5$. |
| title | Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2605.14052 |