A PDE perspective on the flat chain conjecture
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915609103564800 |
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| author | Marchese, Andrea |
| author_facet | Marchese, Andrea |
| contents | This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space. In particular, we focus on recent work showing that the conjecture is equivalent to a Lipschitz regularity estimate for a certain PDE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06822 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A PDE perspective on the flat chain conjecture Marchese, Andrea Analysis of PDEs 49q10, 49q20 This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space. In particular, we focus on recent work showing that the conjecture is equivalent to a Lipschitz regularity estimate for a certain PDE. |
| title | A PDE perspective on the flat chain conjecture |
| topic | Analysis of PDEs 49q10, 49q20 |
| url | https://arxiv.org/abs/2511.06822 |