On Poletsky type inequality for mappings of Riemannian surfaces

E. Sevost'yanov

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arXiv · 1902.03397

On Poletsky type inequality for mappings of Riemannian surfaces

E. Sevost'yanov

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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. 2019-02-09. On Poletsky type inequality for mappings of Riemannian surfaces. https://arxiv.org/abs/1902.03397

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