@article{Sevost’yanov_Dovhopiatyi_Ilkevych_Kalenska_2022, title={On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends}, volume={57}, url={http://www.matstud.org.ua/ojs/index.php/matstud/article/view/299}, DOI={10.30970/ms.57.2.157-171}, abstractNote={<p>Given a domain of some Riemannian surface,<br>we consider questions related to the possibility of a continuous<br>extension to the boundary of one class of Sobolev mappings. It is<br>proved that such maps have a continuous boundary extension in terms<br>of prime ends, and under some additional restrictions their families<br>are equicontinuous at inner and boundary points of the domain. We<br>have separately considered the cases of homeomorphisms and mappings<br>with branching.</p&gt;}, number={2}, journal={Matematychni Studii}, author={Sevost’yanov, E. and Dovhopiatyi, O. P. and Ilkevych, N. S. and Kalenska, V. P.}, year={2022}, month={Jun.}, pages={157-171} }