14 citations · 21 across the 5 of their papers we have counts for
5 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…
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Kari Astala, Albert Clop, Daniel Faraco +2
We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in arXiv:1412.4046 but here…
Manifolds of quasiconformal mappings and the nonlinear Beltrami equation
Kari Astala, Albert Clop, Daniel Faraco +1
In this paper we show that the homeomorphic solutions to each nonlinear Beltrami equation generate a two-dimensional manifol…