On Poletsky type inequality for mappings of Riemannian surfaces

Published 9 Feb 2019 in math.CV | (1902.03397v3)

Abstract: In this paper, we obtain upper estimates for the distortion of the modulus of families of paths under mappings of the Sobolev class, whose dilatation is locally integrable. As a consequence, theorems on the local and boundary behavior of the indicated mappings are obtained.

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E. Sevost'yanov

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