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- ItemL ∞-estimates for divergence operators on bad domains(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011) Elst, A.F.M. ter; Rehberg, JoachimIn this paper, we prove L^infty-estimates for solutions of divergence operators in case of mixed boundary conditions. In this very general setting, the Dirichlet boundary part may be arbitrarily wild, i.e. no regularity conditions have to be imposed on it.