Geodesic
The sharp Sobolev inequality in quantitative form
Journal of the European Mathematical Society, Tome 11 (2009) no. 5, pp. 1105-1139.

Voir la notice de l'article provenant de 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.
DOI : 10.4171/jems/176
Classification : 35-XX, 00-XX 
@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},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {2009},
     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
PB  - mathdoc
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
%I mathdoc
%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. http://geodesic.mathdoc.fr/articles/10.4171/jems/176/

Cité par Sources :