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arXiv · 2304.10923

The Optimal H\"older Exponent in Massari's Regularity Theorem

Thomas Schmidt·Jule Helena Schütt
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Abstract

We determine the optimal H\"older 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.

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Thomas Schmidt, Jule Helena Schütt. 2023-04-21. The Optimal H\"older Exponent in Massari's Regularity Theorem. https://doi.org/10.1007/s00526-023-02495-6

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