Mappings satisfying inverse Poletskii-type modulus inequalities are equicontinuous w.r.t. prime ends of domains provided the majorant is integrable.
Sevost'yanov: On prime ends on Riemannian manifolds
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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.
citing papers explorer
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On equicontinuity of mappings with inverse moduli inequalities by prime ends of variable domains
Mappings satisfying inverse Poletskii-type modulus inequalities are equicontinuous w.r.t. prime ends of domains provided the majorant is integrable.
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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.