Divergence form operators in Reifenberg flat domains
Date
2010Source
Mathematische ZeitschriftVolume
264Issue
1Pages
15-41Google Scholar check
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We study the boundary regularity of solutions of elliptic operators in divergence form with C0,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. © Springer-Verlag 2008.