Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula-Reference-Cited by-同舟云学术

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

Published:2019-07-01 Issue:3 Volume:12 Page:225-252
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
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Author:

Pinamonti Andrea¹,Squassina Marco²,Vecchi Eugenio³

Affiliation:

1. Dipartimento di Matematica, Università degli Studi di Trento, Via Sommarive 14, 38123Povo (TN), Italy

2. Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore,Via dei Musei 41, I-25121Brescia, Italy

3. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126Bologna, Italy

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2017-0019/pdf

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