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math.CV2020
The Sobolev Jordan-Schonflies Problem
Aleksis Koski, Jani Onninen
We consider the planar unit disk as the reference configuration and a Jordan domain as the deformed configuration, and study the problem of extending a give…
math.CV2020
Sobolev homeomorphic extensions onto John domains
Pekka Koskela, Aleksis Koski, Jani Onninen
Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general…