Proves prime-end boundary extensions for open discrete unclosed mappings in Orlicz-Sobolev classes, extending Carathéodory's theorem.
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Mappings satisfying inverse Poletskii-type modulus inequalities are equicontinuous w.r.t. prime ends of domains provided the majorant is integrable.
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 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.