Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Marco Squassina; Andrea Pinamonti; Eugenio Vecchi

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Marco Squassina, Andrea Pinamonti, Eugenio Vecchi

Risultato della ricerca: Contributo in rivista › Articolo in rivista

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
Stato di pubblicazione	Pubblicato - 2019

Keywords

Magnetic BV

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

year = "2019",

language = "English",

pages = "225--252",

journal = "Advances in Calculus of Variations",

issn = "1864-8258",

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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

M3 - Article

SP - 225

EP - 252

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

SN - 1864-8258

ER -