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On Poletsky type inequality for mappings of Riemannian surfaces

We obtain upper estimates for the distortion of the modulus of families of paths under the Sobolev class mappings, whose dilatation is locally integrable.&nbsp; As a consequence, we prove theorems on local and boundary behavior for these mappings.

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Bibliographic Details
Date:	2020
Main Authors:	Sevost’yanov, E. A., Севостьянов, Євген Олександрович, Севостьянов, Є. О.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2020
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2292
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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