We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in [37] 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.
Pinamonti A., Squassina M., Vecchi E. (2019). Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula. ADVANCES IN CALCULUS OF VARIATIONS, 12(3), 225-252 [10.1515/acv-2017-0019].
Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula
Vecchi E.
2019
Abstract
We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in [37] 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 in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
