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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3 Pith papers cite this work. Polarity classification is still indexing.
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Proves prime-end boundary extensions for open discrete unclosed mappings in Orlicz-Sobolev classes, extending Carathéodory's theorem.
Equicontinuity of families of open discrete unclosed mappings satisfying inverse Poletsky inequalities is established via prime ends, yielding a result for Orlicz-Sobolev classes.
citing papers explorer
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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 prime ends extension for unclosed Orlicz-Sobolev classes
Proves prime-end boundary extensions for open discrete unclosed mappings in Orlicz-Sobolev classes, extending Carathéodory's theorem.
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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.