The sharp Sobolev inequality in quantitative form
Journal of the European Mathematical Society, Tome 11 (2009) no. 5, pp. 1105-1139
Cet article a éte moissonné depuis la source EMS Press
A quantitative version of the sharp Sobolev inequality in W1,p(Rn), 1, is established with a remainder term involving the distance from the family of extremals.
@article{JEMS_2009_11_5_a5,
author = {Andrea Cianchi and Nicola Fusco and Francesco Maggi and Aldo Pratelli},
title = {The sharp {Sobolev} inequality in quantitative form},
journal = {Journal of the European Mathematical Society},
pages = {1105--1139},
year = {2009},
volume = {11},
number = {5},
doi = {10.4171/jems/176},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/176/}
}
TY - JOUR AU - Andrea Cianchi AU - Nicola Fusco AU - Francesco Maggi AU - Aldo Pratelli TI - The sharp Sobolev inequality in quantitative form JO - Journal of the European Mathematical Society PY - 2009 SP - 1105 EP - 1139 VL - 11 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/176/ DO - 10.4171/jems/176 ID - JEMS_2009_11_5_a5 ER -
%0 Journal Article %A Andrea Cianchi %A Nicola Fusco %A Francesco Maggi %A Aldo Pratelli %T The sharp Sobolev inequality in quantitative form %J Journal of the European Mathematical Society %D 2009 %P 1105-1139 %V 11 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/176/ %R 10.4171/jems/176 %F JEMS_2009_11_5_a5
Andrea Cianchi; Nicola Fusco; Francesco Maggi; Aldo Pratelli. The sharp Sobolev inequality in quantitative form. Journal of the European Mathematical Society, Tome 11 (2009) no. 5, pp. 1105-1139. doi: 10.4171/jems/176
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