A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915492708483072 |
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| author | Leonardi, Gian Paolo Vianello, Giacomo |
| author_facet | Leonardi, Gian Paolo Vianello, Giacomo |
| contents | Given a convex domain $Ω\subset \mathbb{R}^{3}$ and an almost-minimizer $E$ of the relative perimeter in $Ω$, we prove that the closure of $\partial E \cap Ω$ does not contain vertices of $Ω$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets Leonardi, Gian Paolo Vianello, Giacomo Optimization and Control 49Q05, 49Q10 Given a convex domain $Ω\subset \mathbb{R}^{3}$ and an almost-minimizer $E$ of the relative perimeter in $Ω$, we prove that the closure of $\partial E \cap Ω$ does not contain vertices of $Ω$. |
| title | A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets |
| topic | Optimization and Control 49Q05, 49Q10 |
| url | https://arxiv.org/abs/2401.14725 |