Lower bounds for the volume of the image of a ball

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...