BOUNDARY ESTIMATES FOR ELLIPTIC OPERATORS IN DIVERGENCE FORM WITH VMO COEFFICIENTS

초록

We establish boundary regularity estimates for elliptic systems in divergence form with vanishing mean oscillation coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type lemma for elliptic equations. In both cases, the moduli of continuity are expressed in terms of the Lp-mean oscillations of the coefficients and data.

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