Proves that open discrete mappings satisfying inverse Poletsky inequality with integrable majorant admit continuous boundary extensions when domain boundaries satisfy finite connectivity and non-density conditions.
Skvortsov: On the local behavior of a class of inverse mappings
2 Pith papers cite this work. Polarity classification is still indexing.
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Equicontinuity of families of open discrete unclosed mappings satisfying inverse Poletsky inequalities is established via prime ends, yielding a result for Orlicz-Sobolev classes.
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On Caratheodory theorem for open discrete unclosed mappings
Equicontinuity of families of open discrete unclosed mappings satisfying inverse Poletsky inequalities is established via prime ends, yielding a result for Orlicz-Sobolev classes.