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pro vyhledávání: '"Schütt, Jule Helena"'
Autor:
Schmidt, Thomas, Schütt, Jule Helena
We revisit the partial $\mathrm{C}^{1,\alpha}$ regularity theory for minimizers of non-parametric integrals with emphasis on sharp dependence of the H\"older exponent $\alpha$ on structural assumptions for general zero-order terms. A particular case
Externí odkaz:
http://arxiv.org/abs/2410.03338
Autor:
Schmidt, Thomas, Schütt, Jule Helena
Publikováno v:
Calc. Var. Partial Differ. Equ. 62, 161 (2023)
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.
Externí odkaz:
http://arxiv.org/abs/2304.10923