Lower bounds for the volume of the image of a ball

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...