Abstract
We study the boundary regularity of solutions of elliptic operators in divergence form with C 0,α coefficients or operators which are small perturbations of the Laplacian in non-smooth domains. We show that, as in the case of the Laplacian, there exists a close relationship between the regularity of the corresponding elliptic measure and the geometry of the domain.
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T. Toro was partially supported by NSF grant DMS-0600915.
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Milakis, E., Toro, T. Divergence form operators in Reifenberg flat domains. Math. Z. 264, 15–41 (2010). https://doi.org/10.1007/s00209-008-0450-2
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DOI: https://doi.org/10.1007/s00209-008-0450-2