Abstract
We study homeomorphisms and mappings with branching in domains of the Euclidean space. We establish pointwise Hölder and Lipschitz properties of mappings whose characteristics satisfy a Dini-type condition or whose mean values over infinitesimal balls are finite at the corresponding points. Moreover, we find conditions on the complex coefficients of the Beltrami equations in the unit disk under which their homeomorphic solutions are Hölder-continuous on the boundary.
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