14 citations · 21 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…