The Optimal H\"older Exponent in Massari's Regularity Theorem
Analysis of PDEs
2026-01-22 v3
Abstract
We determine the optimal H\"older exponent in Massari's regularity theorem for sets with variational mean curvature in . In fact, we obtain regularity with improved exponents and at the same time provide sharp counterexamples.
Cite
@article{arxiv.2304.10923,
title = {The Optimal H\"older Exponent in Massari's Regularity Theorem},
author = {Thomas Schmidt and Jule Helena Schütt},
journal= {arXiv preprint arXiv:2304.10923},
year = {2026}
}
Comments
This version (v3) corrects typos in proof of Proposition 4.1 only