Geodesic
On boundary-non-preserving mappings with Poletsky inequality
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 834-855

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DOI

The manuscript is devoted to the boundary behavior of mappings with bounded and finite distortion. We consider mappings of domains of the Euclidean space that satisfy weighted Poletsky inequality. Assume that, the definition domain is finitely connected on its boundary and, in addition, on the set of all points which are pre-images of the cluster set of this boundary. Then the specified mappings have a continuous boundary extension provided that the majorant in the Poletsky inequality satisfies some integral divergence condition, or has a finite mean oscillation at every boundary point.
DOI : 10.4153/S0008439525000141
Mots-clés : Quasiconformal mappings, quasiregular mappings, mappings with finite distortion, boundary behavior 
Desyatka, Victoria; Sevost’yanov, Evgeny. On boundary-non-preserving mappings with Poletsky inequality. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 834-855. doi: 10.4153/S0008439525000141
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     title = {On boundary-non-preserving mappings with {Poletsky} inequality},
     journal = {Canadian mathematical bulletin},
     pages = {834--855},
     year = {2025},
     volume = {68},
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