2 papers
math.CV2025
Characterizing Sobolev Homeomorphic Extensions via Internal Distances
Aleksis Koski, Jani Onninen, Haiqing Xu
We give a full characterization of embeddings of the unit circle that admit a Sobolev homeomorphic extension to the unit disk. As a direct corollary, we establish that for quasicon…
math.CV2024
Homeomorphic Sobolev extensions of parametrizations of Jordan curves
Ondrěj Bouchala, Jarmo Jääskeläinen, Pekka Koskela +2
Each homeomorphic parametrization of a Jordan curve via the unit circle extends to a homeomorphism of the entire plane. It is a natural question to ask if such a homeomorphism can…