# The sharp Sobolev inequality in quantitative form

created by maggi on 02 Mar 2007
modified by pratelli on 25 Sep 2010

[BibTeX]

Published Paper

Inserted: 2 mar 2007
Last Updated: 25 sep 2010

Journal: Journal of the European Mathematical Society
Year: 2007

Abstract:

A quantitative version of the sharp Sobolev inequality in $W^{1,p}(\R^n)$, $1<p<n$, is established with a remainder term involving the distance from extremals.

Keywords: Sobolev inequality