Partial regularity for variational integrals with Morrey-Hölder zero-order terms, and the limit exponent in Massari's regularity theorem

Thomas Schmidt, Jule Helena Schütt

We revisit the partial ${\mathrm{C}}^{1,\alpha }$ regularity theory for minimizers of non-parametric integrals with emphasis on sharp dependence of the Hölder exponent $\alpha$ on structural as…