We establish upper estimates for the distortion of the modulus of families of curves under mappings from the Sobolev class whose dilatation is locally integrable. As a consequence, we prove theorems on the local and boundary behaviors of these mappings.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 5, pp. 705–720, May, 2020.
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Sevost’yanov, E.A. On a Poletskii-Type Inequality for Mappings of the Riemannian Surfaces. Ukr Math J 72, 816–835 (2020). https://doi.org/10.1007/s11253-020-01824-8
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DOI: https://doi.org/10.1007/s11253-020-01824-8