Boundary estimates for elliptic operators in divergence form with VMO coefficients
Abstract
We establish boundary regularity estimates for elliptic systems in divergence form with VMO 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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