[Une preuve simple d'une inégalité de Bourgain, Brezis et Mironescu]
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.
Accepté le :
Publié le :
Van Schaftingen, Jean 1
@article{CRMATH_2004__338_1_23_0,
author = {Van Schaftingen, Jean},
title = {A simple proof of an inequality of {Bourgain,} {Brezis} and {Mironescu}},
journal = {Comptes Rendus. Math\'ematique},
pages = {23--26},
year = {2004},
publisher = {Elsevier},
volume = {338},
number = {1},
doi = {10.1016/j.crma.2003.10.036},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2003.10.036/}
}
TY - JOUR AU - Van Schaftingen, Jean TI - A simple proof of an inequality of Bourgain, Brezis and Mironescu JO - Comptes Rendus. Mathématique PY - 2004 SP - 23 EP - 26 VL - 338 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2003.10.036/ DO - 10.1016/j.crma.2003.10.036 LA - en ID - CRMATH_2004__338_1_23_0 ER -
%0 Journal Article %A Van Schaftingen, Jean %T A simple proof of an inequality of Bourgain, Brezis and Mironescu %J Comptes Rendus. Mathématique %D 2004 %P 23-26 %V 338 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2003.10.036/ %R 10.1016/j.crma.2003.10.036 %G en %F CRMATH_2004__338_1_23_0
Van Schaftingen, Jean. A simple proof of an inequality of Bourgain, Brezis and Mironescu. Comptes Rendus. Mathématique, Tome 338 (2004) no. 1, pp. 23-26. doi: 10.1016/j.crma.2003.10.036
[1] J. Bourgain, H. Brezis, P. Mironescu, H1/2 maps with value into the circle; minimal connections, lifting, and the Ginzburg–Landau equation, Inst. Hautes Études Sci. Publ. Math., in press
[2] Analyse fonctionnelle, Collect. Math. Appl. Maı̂trise, Masson, Paris, 1983
[3] Geometric Measure Theory, Springer-Verlag, New York, 1969
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