Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings

• Autorzy: David Kalaj
• Języki publikacji: EN

Abstrakty

EN

We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.

Kategorie tematyczne

• 30C62: Quasiconformal mappings in the plane
• 30A05: Monogenic properties of complex functions (including polygenic and areolar monogenic functions)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 207
• Numer: 2
• Strony: 117-136

Daty

wydano

2011

Twórcy

autor

David Kalaj

• Faculty of Natural Sciences and Mathematics, University of Montenegro, Džordža Vasingtona b.b., 81000 Podgorica, Montenegro

Identyfikatory

DOI

10.4064/sm207-2-2