A reverse isoperimetric inequality for the Cheeger constant under width constraint
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912714299801600 |
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| author | Ftouhi, Ilias Lucardesi, Ilaria Saracco, Giorgio |
| author_facet | Ftouhi, Ilias Lucardesi, Ilaria Saracco, Giorgio |
| contents | Henrot and Lucardesi, in Commun. Contemp. Math. (2024), conjectured that among planar convex sets with prescribed minimal width, the equilateral triangle uniquely maximizes the Cheeger constant. In this short note, we confirm this conjecture. Moreover, we establish a stability result for the inequality in terms of the Hausdorff distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A reverse isoperimetric inequality for the Cheeger constant under width constraint Ftouhi, Ilias Lucardesi, Ilaria Saracco, Giorgio Optimization and Control 52A10, 49Q10, 52A38 Henrot and Lucardesi, in Commun. Contemp. Math. (2024), conjectured that among planar convex sets with prescribed minimal width, the equilateral triangle uniquely maximizes the Cheeger constant. In this short note, we confirm this conjecture. Moreover, we establish a stability result for the inequality in terms of the Hausdorff distance. |
| title | A reverse isoperimetric inequality for the Cheeger constant under width constraint |
| topic | Optimization and Control 52A10, 49Q10, 52A38 |
| url | https://arxiv.org/abs/2504.18848 |