Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings
Abstract
We give sharp conformal conditions for the dfferentiability in the
Sobolev space W1, n-1 loc (Ω,Rn). Furthermore, we show that the space W1, n-1 loc (Ω,Rn)
can be considered as the borderline space for some capacitary inequalities.
Main Authors
Format
Articles
Journal article
Published
2017
Series
Subjects
Publisher
European Mathematical Society Publishing House; Real Sociedad Matematica Espanola
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201611154626Use this for linking
Review status
Peer reviewed
ISSN
0213-2230
DOI
https://doi.org/10.4171/RMI/951
Language
English
Published in
Revista Matemática Iberoamericana
Citation
- Hencl, S. & Tengvall, V. (2017) Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings. Revista Matemática Iberoamericana, 33 (2), 595-622. doi:10.4171/RMI/951
License
Copyright© European Mathematical Society, 2017.