Hölder continuity of harmonic quasiconformal mappings




Arsenović M, Manojlović V, Vuorinen M

PublisherSPRINGER INTERNATIONAL PUBLISHING AG

2011

Journal of Inequalities and Applications

Journal of Inequalities and Applications

J INEQUAL APPL

37

2011

37

5

5

1025-5834

DOIhttps://doi.org/10.1186/1029-242X-2011-37

http://api.elsevier.com/content/abstract/scopus_id:84868123182



We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open. © 2011 Arsenoviéć et al; licensee Springer.




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