On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies
type: Item
instance of: scholarly article
title: On sequences of maps into \(S^1\) with equibounded \(W^{1/2}\) energies
zbMATH Open document ID: 1067.49029
published in: Selecta Mathematica. New Series
publication date: 2005-02-24T00:00:00Z
review text: For a bounded simply connected domain in \(\mathbb{R}^n\) with smooth boundary the authors consider bounded sequences in the fractional Sobolev space \[ W^{1/2}(\Omega, S^1):= \{u\in W^{1/2}(\Omega\times \mathbb{R}^2):|u|= 1\text{ a.e.}\} \] and characterize weak limits of subsequences in the framework of Cartesian currents.
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 2138514
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: trace spaces
zbMATH Keywords: Cartesian currents
zbMATH Keywords: lifting of maps
author: Mariano Giaquinta
author: Giuseppe Modica
author: Jiří Souček
reviewed by: M. Fuchs
MaRDI profile type: Publication
full work available at URL: s00029-004-0379-1
OpenAlex ID: W1998276696
DOI: 10.1007/S00029-004-0379-1
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description: scientific article; zbMATH DE number 2138514