@article{Klishchuk_Salimov_2019, title={Lower bounds for the volume of the image of a ball}, volume={71}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1475}, abstractNote={UDC 517.5 <br>
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 ball and the area of the image of a sphere.}, number={6}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={KlishchukB. A. and SalimovR. R.}, year={2019}, month={Jun.}, pages={774-785} }