Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Marco Squassina; Andrea Pinamonti; Eugenio Vecchi

doi:10.1515/acv-2017-0019

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Marco Squassina, Andrea Pinamonti, Eugenio Vecchi

Risultato della ricerca: Contributo in rivista › Articolo in rivista

24 Citazioni (SciVal)

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

Lingua originale	English
pagine (da-a)	225-252
Numero di pagine	28
Rivista	Advances in Calculus of Variations
DOI	https://doi.org/10.1515/acv-2017-0019
Stato di pubblicazione	Pubblicato - 2019

Keywords

Magnetic BV

Accesso al documento

10.1515/acv-2017-0019

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{a2490b5cdbc446a79c0ac63abf319ab7,

title = "Magnetic BV functions and the Bourgain-Brezis-Mironescu formula",

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",

keywords = "Magnetic BV, Magnetic BV",

author = "Marco Squassina and Andrea Pinamonti and Eugenio Vecchi",

year = "2019",

doi = "10.1515/acv-2017-0019",

language = "English",

pages = "225--252",

journal = "Advances in Calculus of Variations",

issn = "1864-8258",

publisher = "BERLIN NEW YORK: Walter de Gruyter GmbH & Co. KGHome",

}

TY - JOUR

T1 - Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

AU - Squassina, Marco

AU - Pinamonti, Andrea

AU - Vecchi, Eugenio

PY - 2019

Y1 - 2019

N2 - 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

AB - 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

KW - Magnetic BV

UR - http://hdl.handle.net/10807/132140

U2 - 10.1515/acv-2017-0019

DO - 10.1515/acv-2017-0019

M3 - Article

SP - 225

EP - 252

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

SN - 1864-8258

ER -

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo