Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Andrea Pinamonti; Eugenio Vecchi; Marco Squassina

doi:10.1515/acv-2017-0019

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Andrea Pinamonti, Eugenio Vecchi, Marco Squassina^*

^*Autore corrispondente per questo lavoro

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

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10.1515/acv-2017-0019

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

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language = "English",

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journal = "Advances in Calculus of Variations",

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

AU - Pinamonti, Andrea

AU - Vecchi, Eugenio

AU - Squassina, Marco

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

SN - 1864-8266

SP - 225

EP - 252

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

ER -

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Abstract

Keywords

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