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3 papers
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…
Improved Hölder regularity for strongly elliptic PDEs
Kari Astala, Albert Clop, Daniel Faraco +2
We establish surprising improved Schauder regularity properties for solutions to the Leray-Lions divergence type equation in the plane. The results are achieved by studying the non…
The Radó-Kneser-Choquet theorem for -harmonic mappings between Riemannian surfaces
Tomasz Adamowicz, Jarmo Jääskeläinen, Aleksis Koski
In the planar setting the Radó-Kneser-Choquet theorem states that a harmonic map from the unit disk onto a Jordan domain bounded by a convex curve is a diffeomorphism provided that…