Calculus of Variations and Geometric Measure Theory

N. Fusco - F. Maggi - A. Pratelli

The sharp quantitative Sobolev inequality for functions of bounded variation

created by fuscon on 27 Apr 2006
modified by pratelli on 25 Sep 2010


Published Paper

Inserted: 27 apr 2006
Last Updated: 25 sep 2010

Journal: J. Funct. Anal.
Year: 2006


The classical Sobolev embedding theorem of the space of functions of bounded variation $BV(\R^n)$ into $L^{n'}(\R^n)$ is proved in a sharp quantitative form.