@article{Sevostâ€™yanov_2021, title={Isolated singularities of mappings with the inverse Poletsky inequality}, volume={55}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/175}, DOI={10.30970/ms.55.2.132-136}, abstractNote={<p>The manuscript is devoted to the study of mappings<br>with finite distortion, which have been actively studied recently.<br>We consider mappings satisfying the inverse Poletsky inequality,<br>which can have branch points. Note that mappings with the reverse<br>Poletsky inequality include the classes of con\-for\-mal,<br>quasiconformal, and quasiregular mappings. The subject of this<br>article is the question of removability an isolated singularity of a<br>mapping. The main result is as follows. Suppose that $f$ is an open<br>discrete mapping between domains of a Euclidean $n$-dimensional<br>space satisfying the inverse Poletsky inequality with some<br>integrable majorant $Q.$ If the cluster set of $f$ at some isolated<br>boundary point $x_0$ is a subset of the boundary of the image of the<br>domain, and, in addition, the function $Q$ is integrable, then $f$<br>has a continuous extension to $x_0.$ Moreover, if $f$ is finite at<br>$x_0,$ then $f$ is logarithmic H\"{o}lder continuous at $x_0$ with<br>the exponent $1/n.$</p>}, number={2}, journal={Matematychni Studii}, author={Sevostâ€™yanov, E.A.}, year={2021}, month={Jun.}, pages={132-136} }