$L^p$-regularity of a geometrically nonlinear system in supercritical dimensions
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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_ | 1866912070776127488 |
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| author | Guo, Chang-Yu Xiang, Chang-Lin Liu, Ming-Lun |
| author_facet | Guo, Chang-Yu Xiang, Chang-Lin Liu, Ming-Lun |
| contents | In a recent work, Gastel and Neff introduced an interesting system from a geometrically nonlinear flat cosserat micropolar model and established interior regularity in the critical dimension. Inspired by their work on this flat Cosserat model, in this article, we establish both interior regularity and sharp $L^p$ regularity for their system in supercritical dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16284 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^p$-regularity of a geometrically nonlinear system in supercritical dimensions Guo, Chang-Yu Xiang, Chang-Lin Liu, Ming-Lun Analysis of PDEs 35B65, 35J47, 35G50 In a recent work, Gastel and Neff introduced an interesting system from a geometrically nonlinear flat cosserat micropolar model and established interior regularity in the critical dimension. Inspired by their work on this flat Cosserat model, in this article, we establish both interior regularity and sharp $L^p$ regularity for their system in supercritical dimensions. |
| title | $L^p$-regularity of a geometrically nonlinear system in supercritical dimensions |
| topic | Analysis of PDEs 35B65, 35J47, 35G50 |
| url | https://arxiv.org/abs/2404.16284 |