Elliptic equations with BMO nonlinearity in Reifenberg domains

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Calderón–Zygmund theory for nonlinear elliptic problems with irregular obstacles (2012, methodology): “When it comes to a minimal geometric assumption we impose a Reifenberg flatness which turns out to be an appropriate one for nonlinear perturbation results, as in [6,21,27].”
On the extension property of Reifenberg-flat domains (2012, methodology): “[4] S. Byun, L. Wang, and S. Zhou.”
Global weighted estimates for the gradient of solutions to nonlinear elliptic equations (2013, methodology): “The main approach in those works is to make use of harmonic analysis tools such as the maximal function operator, as done in [6,8,9,12].”
Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations (2013, background): “As in [5, 6], we shall argue by contradiction.”
Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains (2011, methodology): “Review of unweighted estimates We review first the local interior and boundary estimates established in [3].”
Nonlinear gradient estimates for elliptic equations of general type (2012, methodology): “7 in [6] for a normalization when λ > 1 and r = 1 and Lemma 2.”