Alexandrov's Soap Bubble Theorem for Polygons
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911933577297920 |
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| author | Bonacini, Marco Cristoferi, Riccardo Topaloglu, Ihsan |
| author_facet | Bonacini, Marco Cristoferi, Riccardo Topaloglu, Ihsan |
| contents | Regular polygons are characterized as area-constrained critical points of the perimeter functional with respect to particular families of perturbations in the class of polygons with a fixed number of sides. We also review recent results in the literature involving other shape functionals as well as further open problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18163 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alexandrov's Soap Bubble Theorem for Polygons Bonacini, Marco Cristoferi, Riccardo Topaloglu, Ihsan Analysis of PDEs Optimization and Control Regular polygons are characterized as area-constrained critical points of the perimeter functional with respect to particular families of perturbations in the class of polygons with a fixed number of sides. We also review recent results in the literature involving other shape functionals as well as further open problems. |
| title | Alexandrov's Soap Bubble Theorem for Polygons |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2406.18163 |