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On quasiregular mappings between smooth Jordan domains
Authors:David Kalaj
Affiliation:University of Montenegro, Faculty of Natural Sciences and Mathematics, Cetinjski put b.b., 81000 Podgorica, Montenegro
Abstract:It is proved that every proper quasiregular C2 mapping w between two plane Jordan domains ΩC1,α and GC2,α, 0<α?1, satisfying the differential inequality |Δw|?M2|∇w|+N is Lipschitz continuous. This extends the main result of the author and M. Mateljevi? (Kalaj and Mateljevi?, 2006 [7]).
Keywords:Harmonic maps   Quasiconformal maps   Elliptic PDE
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