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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | https://arxiv.org/abs/2309.13522 |
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| _version_ | 1866929539063480320 |
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| author | Guo, Chang-Yu Qi, Wen-Juan |
| author_facet | Guo, Chang-Yu Qi, Wen-Juan |
| contents | In this short note, we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type: \begin{equation*}
Δ^{m}u=\sum_{l=0}^{m-1}Δ^{l}\left\langle V_{l},du\right\rangle +\sum_{l=0}^{m-2}Δ^{l}δ\left(w_{l}du\right)+f\qquad \text{in} B^{2m} \end{equation*} under minimal regularity assumptions on the coefficients functions V^l, w^l and that f belongs to certain Morrey space. This can be regarded as a further extension of the recent L^p-regularity theory obtained by Guo-Xiang-Zheng [15], and generalizes [7, 27] for second and fourth order elliptic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13522 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sharp Morrey regularity for an even order elliptic system Guo, Chang-Yu Qi, Wen-Juan Analysis of PDEs In this short note, we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type: \begin{equation*} Δ^{m}u=\sum_{l=0}^{m-1}Δ^{l}\left\langle V_{l},du\right\rangle +\sum_{l=0}^{m-2}Δ^{l}δ\left(w_{l}du\right)+f\qquad \text{in} B^{2m} \end{equation*} under minimal regularity assumptions on the coefficients functions V^l, w^l and that f belongs to certain Morrey space. This can be regarded as a further extension of the recent L^p-regularity theory obtained by Guo-Xiang-Zheng [15], and generalizes [7, 27] for second and fourth order elliptic systems. |
| title | Sharp Morrey regularity for an even order elliptic system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2309.13522 |