Local behavior of mappings defined by their distributional derivatives

We study asymptotic behavior of spatial mappings at the origin. These mappings belong to the Orlic-Sobolev class and are defined by their Jacobimatrices. The theorem provides a result of a Schwarz Lemma type. The sharpness of conditions is illustrated by an example.

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Bibliographic Details
Date:2015
Main Authors: Golberg, A., Salimov, R.
Format: Article
Language:English
Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/171
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine