A simple proof of an inequality of Bourgain, Brezis and Mironescu

Jean Van Schaftingen

doi:10.1016/j.crma.2003.10.036

Partial Differential Equations

A simple proof of an inequality of Bourgain, Brezis and Mironescu

Presented by: Haïm Brezis

Jean Van Schaftingen ¹

¹ Département de mathématique, Université catholique de Louvain, 2, chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium

Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 23-26.

Abstract
Résumé

A simpler proof of a recent inequality of Bourgain, Brezis and Mironescu is given.

Nous donnons une preuve plus simple d'une inégalité récente de Bourgain, Brezis et Mironescu.

Received: 2003-10-24
Accepted: 2003-10-24
Published online: 2003-12-11

DOI: 10.1016/j.crma.2003.10.036

Author's affiliations:

Jean Van Schaftingen ¹

¹ Département de mathématique, Université catholique de Louvain, 2, chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium

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     author = {Jean Van Schaftingen},
     title = {A simple proof of an inequality of {Bourgain,} {Brezis} and {Mironescu}},
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     pages = {23--26},
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Jean Van Schaftingen. A simple proof of an inequality of Bourgain, Brezis and Mironescu. Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 23-26. doi : 10.1016/j.crma.2003.10.036. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.10.036/

References
Cited by

[1] J. Bourgain, H. Brezis, P. Mironescu, H^1/2 maps with value into the circle; minimal connections, lifting, and the Ginzburg–Landau equation, Inst. Hautes Études Sci. Publ. Math., in press

[2] H. Brezis Analyse fonctionnelle, Collect. Math. Appl. Maı̂trise, Masson, Paris, 1983

[3] H. Federer Geometric Measure Theory, Springer-Verlag, New York, 1969

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