Abstract

The article investigates the local and boundary behavior of mappings with branching that satisfy the inverse inequality of the Poletsky type. It is proved that mappings of this type are logarithmically Hölder-continuous under the condition that the function Q responsible for a distortion of the modulus of the families of curves is integrable. A continuous extension of the indicated mappings to the boundary is obtained. In addition, the conditions under which the families of mentioned mappings are equicontinuous inside the domain and at its boundary are studied.

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