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BMO estimates for quasilinear elliptic equations with BMO coefficients. (English) Zbl 1374.35174
Summary: We establish a global limiting case of nonlinear Calderón-Zygmund theory to quasilinear elliptic equations \(\text{div}\mathcal{A}(x, Du) = \text{div}(|F|^{p-2}F)\) under the BMO smallness of the nonlinearity, that is \(|F|^{p-2}F\in\) BMO implies that \(Du\in\) BMO.
MSC:
35J62 Quasilinear elliptic equations
30H35 BMO-spaces
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