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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.23149 |
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| _version_ | 1866910247499595776 |
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| author | DeVito, Jason DeYeso III, Robert Nance, Ezra Niedzialomski, Robert |
| author_facet | DeVito, Jason DeYeso III, Robert Nance, Ezra Niedzialomski, Robert |
| contents | We develop techniques for solving the relative isoperimetric problem on polygonal domains in $\mathbb{R}^2$, with special attention paid to corners. As an application, we solve the relative isoperimetric problem for a square with a square corner removed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23149 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Remarks on the relative isoperimetric profile of polygonal domains in $\mathbb{R}^2$ DeVito, Jason DeYeso III, Robert Nance, Ezra Niedzialomski, Robert Differential Geometry 49Q10, 49Q20 We develop techniques for solving the relative isoperimetric problem on polygonal domains in $\mathbb{R}^2$, with special attention paid to corners. As an application, we solve the relative isoperimetric problem for a square with a square corner removed. |
| title | Remarks on the relative isoperimetric profile of polygonal domains in $\mathbb{R}^2$ |
| topic | Differential Geometry 49Q10, 49Q20 |
| url | https://arxiv.org/abs/2605.23149 |