We determine the optimal Hölder exponent in Massari’s regularity theorem for sets with variational mean curvature in Lp. In fact, we obtain regularity with improved exponents and at the same time provide sharp counterexamples.
We determine the optimal Hölder exponent in Massari’s regularity theorem for sets with variational mean curvature in Lp. In fact, we obtain regularity with improved exponents and at the same time provide sharp counterexamples.