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math.CV2022
Bi-Sobolev extensions
Aleksis Koski, Jani Onninen
We give a full characterization of circle homeomorphisms which admit a homeomorphic extension to the unit disk with finite bi-Sobolev norm. As a special case, a bi-conformal varian…
math.CV2022
A single-point Reshetnyak's theorem
Ilmari Kangasniemi, Jani Onninen
We prove a single-value version of Reshetnyak's theorem. Namely, if a non-constant map from a domain satisfies…