On variations for mappings with restrictions on dilation in measure

We construct variations for classes of homeomorphisms with generalized derivatives in the case where restrictions in measure of general form are imposed on large values of dilation. We use the method for the construction of variations suggested by Gutlyanskii.

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Bibliographic Details
Date:1996
Main Authors: Potemkin, V. L., Потемкин, В. Л.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5306
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We construct variations for classes of homeomorphisms with generalized derivatives in the case where restrictions in measure of general form are imposed on large values of dilation. We use the method for the construction of variations suggested by Gutlyanskii.