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TitleSobolev homeomorphisms are dense in volume preserving automorphisms
Author(s)Azevedo, Assis
Azevedo, Davide
Costa, Mário Júlio Pereira Bessa
Torres, M. J.
KeywordsLusin theorem
Volume preserving
Sobolev homeomorphism
Issue dateDec-2019
JournalJournal of Functional Analysis
Abstract(s)In this paper we prove a Lusin theorem for the space of Sobolev-(1,p) volume preserving homeomorphism on closed and connected n-dimensional manifolds, n >= 3, for p<n-1. We also prove that if p>n this result is not true.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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