TY - JOUR
AU - B. A. Klishchuk
AU - R. R. Salimov
PY - 2019/06/25
Y2 - 2020/12/03
TI - Lower bounds for the volume of the image of a ball
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 71
IS - 6
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1475
AB - UDC 517.5 We consider ring $Q$-homeomorphisms with respect to $p$-modulus inthe 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 ball and the area of the image of a sphere.
ER -