Calculus of Variations and Geometric Measure Theory

T. Schmidt - J. H. Schütt

The optimal Hölder exponent in Massari’s regularity theorem

created by schmidt on 17 Feb 2023
modified on 28 Jun 2023

[BibTeX]

Published Paper

Inserted: 17 feb 2023
Last Updated: 28 jun 2023

Journal: Calc. Var. Partial Differ. Equ.
Volume: 62
Year: 2023
Links: Link to the published version

Abstract:

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.


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