English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article, we consider the H\"{o}lder continuity of injective maps inOrlicz-Sobolev classes defined on the unit ball. Under certain conditions onthe growth of dilatations, we obtain the H\"{o}lder continuity of the indicatedclass of mappings. In particular, under certain special restrictions, we showthat Lipschitz continuity of mappings holds. We also consider H\"{o}lder andLipschitz continuity of harmonic mappings and in particular of harmonicmappings in Orlicz-Sobolev classes. In addition in planar case, we show in somesituations that the map is bi-Lipschitzian if Beltrami coefficient isH\"{o}lder continuous.

H\"{o}lder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings