Toward the theory of the Sobolev classes with critical exponent

It is established that an arbitrary homeomorphism f in the Sobolev class W1,n−1loc with the outer dilatation K0(x,f)∈Ln−1loc is the socalled lower Q - homeomorphism with Q=K0(x,f) and the ring Q* homeomorphism with Q∗=Kn−10(x,f). These results make it possible to research the local and boundary beh...

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Bibliographic Details
Main Authors: O.S. Afanas’eva, V.I. Ryazanov, R.R. Salimov
Format: Article
Language:English
Published: Publishing House "Akademperiodyka" 2019-08-01
Series:Доповiдi Нацiональної академiї наук України
Subjects:
Online Access:http://www.dopovidi-nanu.org.ua/en/archive/2019/8/1