Calculus of Variations and Geometric Measure Theory
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A. Pinamonti - M. Squassina - E. Vecchi

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

created by squassina on 30 Sep 2016

[BibTeX]

Preprint

Inserted: 30 sep 2016
Last Updated: 30 sep 2016

Year: 2016

Abstract:

We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formula in this class.

Keywords: Fractional magnetic spaces, Bourgain-Brezis-Mironescu type formula


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