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Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999) J. Eur. Math. Soc. 2, 87–91 c Springer-Verlag & EMS 2000 Erratum Fang-Hua Lin Tristan Rivière Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents J. Eur. Math. Soc. 1, 237–311 (1999) In our previous paper [2] “Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents”, we studied the asymptotic behavior of energy minimizing solutions of the Ginzburg- Landau equations. But the -compactness Lemma was for arbitrary so- lutions which may not be energy minimizing. We found there is a gap in this version of the proof of the -compactness Lemma (Lemma II.7). This -compactness Lemma as well as asymptotic behavior of arbitrary solutions are treated in our forthcoming paper [3]. Here we shall simply present our earlier proof of the -compactness for energy minimizing solu- tions. All the statements in the rest of the paper [2] are not affected by this modification. The arguments from (II.60) to (II.68) have to be modified in the following way. Starting from (II.60) we say: 1; p In fact we will be mainly interested in p such that W .@ B /,! H .@ B /, t t that is p > 2 . We will http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the European Mathematical Society Springer Journals

Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)

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Journal of the European Mathematical Society , Volume 2 (1) – Mar 1, 2000

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Berlin Heidelberg & EMS
Subject
Mathematics; Mathematics, general
ISSN
1435-9855
DOI
10.1007/s100970050015
Publisher site
See Article on Publisher Site

Abstract

J. Eur. Math. Soc. 2, 87–91 c Springer-Verlag & EMS 2000 Erratum Fang-Hua Lin Tristan Rivière Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents J. Eur. Math. Soc. 1, 237–311 (1999) In our previous paper [2] “Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents”, we studied the asymptotic behavior of energy minimizing solutions of the Ginzburg- Landau equations. But the -compactness Lemma was for arbitrary so- lutions which may not be energy minimizing. We found there is a gap in this version of the proof of the -compactness Lemma (Lemma II.7). This -compactness Lemma as well as asymptotic behavior of arbitrary solutions are treated in our forthcoming paper [3]. Here we shall simply present our earlier proof of the -compactness for energy minimizing solu- tions. All the statements in the rest of the paper [2] are not affected by this modification. The arguments from (II.60) to (II.68) have to be modified in the following way. Starting from (II.60) we say: 1; p In fact we will be mainly interested in p such that W .@ B /,! H .@ B /, t t that is p > 2 . We will

Journal

Journal of the European Mathematical SocietySpringer Journals

Published: Mar 1, 2000

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