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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2508.10508 |
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| _version_ | 1866909736863006720 |
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| author | Eitler, Ferdinand Lewintan, Peter |
| author_facet | Eitler, Ferdinand Lewintan, Peter |
| contents | We investigate into the regularity of $\mathrm{BV}^{\mathbb{A}}$-minimisers for $\mathbb{C}$-elliptic differential operators $\mathbb{A}$ in $2$ dimensions. Our studies strongly rely on the special structure of such differential operators. The gradient integrability is established for the sharp ellipticity range known from the (symmetric) gradient case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $\mathrm{BV}^{\mathbb{A}}$-Minimisers in two Dimensions Eitler, Ferdinand Lewintan, Peter Analysis of PDEs 35B65, 35J60, 49J45, 35A15 We investigate into the regularity of $\mathrm{BV}^{\mathbb{A}}$-minimisers for $\mathbb{C}$-elliptic differential operators $\mathbb{A}$ in $2$ dimensions. Our studies strongly rely on the special structure of such differential operators. The gradient integrability is established for the sharp ellipticity range known from the (symmetric) gradient case. |
| title | On $\mathrm{BV}^{\mathbb{A}}$-Minimisers in two Dimensions |
| topic | Analysis of PDEs 35B65, 35J60, 49J45, 35A15 |
| url | https://arxiv.org/abs/2508.10508 |