Localized regularity of planar maps of finite distortion

Thumbnail
Files
Self archived version
final draft
Date
2021
Author(s)
Hirviniemi, Olli
Prause, István
Saksmann, Eero
Unique identifier
10.4171/RMI/1297
Metadata
Show full item record
More information

Self-archived item

Citation
Hirviniemi, Olli. Prause, István. Saksmann, Eero. (2021). Localized regularity of planar maps of finite distortion.  Revista matematica iberoamericana, 38 (2) , 615–634. 10.4171/RMI/1297.
Rights
© 2021 Real Sociedad Matemática Española
Licensed under
In copyright
Abstract

In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the class of maps of exponentially integrable distortion. Analogues of such results were known earlier in the case of quasiconformal mappings. Moreover, we study regularity for maps whose distortion has better than exponential integrability.

Keywords
mappings of finite distortion   localized regularity   exponentially integrable distortion   
URI
https://erepo.uef.fi/handle/123456789/26374
Link to the original item
http://dx.doi.org/10.4171/RMI/1297
Publisher
European Mathematical Society - EMS - Publishing House GmbH
Collections