The double spherical cap rearrangement of planar sets
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909817546735616 |
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| author | Gambicchia, Chiara |
| author_facet | Gambicchia, Chiara |
| contents | This paper is devoted to the proof of an isoperimetric property of the double spherical cap rearrangement of planar sets under the assumption of disconnection of non-trivial spherical slices. Additionally, the higher-dimensional case is briefly discussed; in particular, an explicit counterexample is given, thus explaining why an analogous result cannot hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The double spherical cap rearrangement of planar sets Gambicchia, Chiara Functional Analysis 28A75 This paper is devoted to the proof of an isoperimetric property of the double spherical cap rearrangement of planar sets under the assumption of disconnection of non-trivial spherical slices. Additionally, the higher-dimensional case is briefly discussed; in particular, an explicit counterexample is given, thus explaining why an analogous result cannot hold. |
| title | The double spherical cap rearrangement of planar sets |
| topic | Functional Analysis 28A75 |
| url | https://arxiv.org/abs/2509.13889 |