Lower bounds for the volume of the image of a ball

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 thevolume of the image of a ball under such mappings. We solve the extremal problems on minimizing of the functionals of the volume ofthe image of a ball and the...

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Bibliographic Details
Date:2023
Main Authors: Klishchuk, Bogdan, Salimov, Ruslan, Салімов, Руслан
Format: Article
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/775
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal