Calculus of Variations and Geometric Measure Theory

A. Cianchi - N. Fusco - F. Maggi - A. Pratelli

The sharp Sobolev inequality in quantitative form

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


Published Paper

Inserted: 2 mar 2007
Last Updated: 25 sep 2010

Journal: Journal of the European Mathematical Society
Year: 2007


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