Geodesic
Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings
David Kalaj1
1 Faculty of Natural Sciences and Mathematics University of Montenegro Džordža Vasingtona b.b. 81000 Podgorica, Montenegro
Studia Mathematica, Tome 207 (2011) no. 2, pp. 117-136 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm207-2-2
Keywords: extend rado choquet kneser theorem mappings lipschitz boundary essentially positive jacobian boundary without restriction convexity image domain proof based recent extension rado choquet kneser theorem alessandrini nesi uses approximation scheme applications families quasiconformal harmonic mappings between jordan domains given

David Kalaj 1

1 Faculty of Natural Sciences and Mathematics University of Montenegro Džordža Vasingtona b.b. 81000 Podgorica, Montenegro 
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David Kalaj. Invertible harmonic mappings beyond the Kneser theorem
 and quasiconformal harmonic mappings. Studia Mathematica, Tome 207 (2011) no. 2, pp. 117-136. doi: 10.4064/sm207-2-2

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