Minimal periodic foams with fixed inradius
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914871866556416 |
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| author | Cesaroni, Annalisa Novaga, Matteo |
| author_facet | Cesaroni, Annalisa Novaga, Matteo |
| contents | In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties of minimizers in dimensions $3$ and $4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal periodic foams with fixed inradius Cesaroni, Annalisa Novaga, Matteo Analysis of PDEs In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties of minimizers in dimensions $3$ and $4$. |
| title | Minimal periodic foams with fixed inradius |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.07534 |