The Optimal Hölder Exponent in Massari's Regularity Theorem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909996894126080 |
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| author | Schmidt, Thomas Schütt, Jule Helena |
| author_facet | Schmidt, Thomas Schütt, Jule Helena |
| contents | We determine the optimal Hölder exponent in Massari's regularity theorem for sets with variational mean curvature in $\mathrm{L}^p$. In fact, we obtain regularity with improved exponents and at the same time provide sharp counterexamples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10923 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Optimal Hölder Exponent in Massari's Regularity Theorem Schmidt, Thomas Schütt, Jule Helena Analysis of PDEs 49Q05, 35J93, 53A10 We determine the optimal Hölder exponent in Massari's regularity theorem for sets with variational mean curvature in $\mathrm{L}^p$. In fact, we obtain regularity with improved exponents and at the same time provide sharp counterexamples. |
| title | The Optimal Hölder Exponent in Massari's Regularity Theorem |
| topic | Analysis of PDEs 49Q05, 35J93, 53A10 |
| url | https://arxiv.org/abs/2304.10923 |