Lower bounds for the volume of the image of a ball

UDC 517.5 We consider ring $Q$-homeomorphisms with respect to $p$-modulus in the space $\Bbb R^{n}$ as $p>n$. We obtain a lower bound for the volume of the image of a ball under these mappings. We solve the extremal problems of minimization of functionals of the volume of the image of a b...

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Bibliographic Details
Date:2019
Main Authors: Klishchuk, B. A., Salimov, R. R., Клищук, Б. А., Салимов, Р. Р.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1475
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal