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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
106/2002

A short proof of the self-improving regularity of quasiregular mappings.

Xiao Zhong and Daniel Faraco

Abstract

We provide a short proof of a theorem, due to Iwaniec & Martin and Iwaniec, on the self improving integrability of quasiregular mappings. The proof relies on Lipschitz approximations of Sobolev functions.

Received:
09.12.02
Published:
09.12.02
MSC Codes:
30C65, 35J60
Keywords:
quasiregular mappings, regularity, lipschitz

Related publications

inJournal
2006 Repository Open Access
Daniel Faraco and Xiao Zhong

A short proof of the self-improving regularity of quasiregular mappings

In: Proceedings of the American Mathematical Society, 134 (2006) 1, pp. 187-192