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.
- Complex Variables and Elliptic Equations 55: 1--3, 2010, 61--90
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.CV 3verdicts
UNVERDICTED 3representative citing papers
Proves prime-end boundary extensions for open discrete unclosed mappings in Orlicz-Sobolev classes, extending Carathéodory's theorem.
Mappings satisfying inverse Poletskii-type modulus inequalities are equicontinuous w.r.t. prime ends of domains provided the majorant is integrable.
citing papers explorer
-
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.
-
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.
-
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.