Lower bounds for the volume of the image of a ball

• Datum: 2019
• Hauptverfasser: Klishchuk, B. A., Salimov, R. R., Клищук, Б. А., Салимов, Р. Р.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1475
• Назва журналу: 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...