Calculus of Variations and Geometric Measure Theory
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S. Di Marino - M. Squassina -

New characterizations of Sobolev metric spaces

created by squassina on 05 Mar 2018

[BibTeX]

Preprint

Inserted: 5 mar 2018
Last Updated: 5 mar 2018

Year: 2018

Abstract:

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 $\R^N$.


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