Calculus of Variations and Geometric Measure Theory

S. Di Marino - M. Squassina -

New characterizations of Sobolev metric spaces

created by squassina on 05 Mar 2018
modified on 06 Jul 2018



Inserted: 5 mar 2018
Last Updated: 6 jul 2018

Year: 2018


We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of $\R^N$.