We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in the Hilbert case setting. In particular, after developing a rather complete theory of magnetic bounded variation functions, we prove the validity of the formula in this class.
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula / Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 12:3(2019), pp. 225-252. [10.1515/acv-2017-0019]
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula
Squassina, Marco
;Vecchi, Eugenio
2019
Abstract
We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in the Hilbert case setting. In particular, after developing a rather complete theory of magnetic bounded variation functions, we prove the validity of the formula in this class.File allegati a questo prodotto
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