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Lifting in Sobolev spaces

By Jean Bourgain, Haïm Brezis and Petru Mironescu

Abstract

International audienceWe characterize the couples $(s,p)$ with the following property: if $u$ is a complex-valued unimodular map in $W^{s,p}$, then $u$ has (locally) a phase in $W^{s,p}$

Topics: unimodular maps, lifting, Sobolev spaces, 46E35 ; 35J20 ; 58D15 ; 58E20, [ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA]
Publisher: Springer
Year: 2000
DOI identifier: 10.1007/BF02791533
OAI identifier: oai:HAL:hal-00747691v1
Provided by: Hal-Diderot

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