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.
- Springer, Berlin etc., 1969
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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Carath\'eodory boundary extensions for generalized quasiregular mappings
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.
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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.