A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
type: Item
instance of: scholarly article
title: A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
author: Elisa Davoli
author: Giovanni Di Fratta
author: Rossella Giorgio
published in: SIAM Journal on Mathematical Analysis
publication date: 2024-11-21T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 7947648
zbMATH Keywords: nonlocal energies
zbMATH Keywords: Bourgain-Brezis-Mironescu formula
zbMATH Keywords: antisymmetric exchange interactions
zbMATH Keywords: micromagnetics
zbMATH Keywords: gamma-convergence
zbMATH Keywords: Dzyaloshinskii-Moriya interaction (DMI)
zbMATH Keywords: magnetic skyrmions
MaRDI profile type: Publication
cites work: Gamma-convergence of nonlocal perimeter functionals
cites work: Q3159214
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: The BBM formula revisited
cites work: Q5725641
cites work: Nonlocal quantitative isoperimetric inequalities
cites work: Variational Principles of Micromagnetics Revisited
cites work: Curved thin-film limits of chiral Dirichlet energies
cites work: A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces
cites work: Q4682115
cites work: Moriya Interaction and the Problem of the Spin Arrangements in β MnS
cites work: On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
cites work: Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula
cites work: An estimate in the spirit of Poincaré's inequality
cites work: A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
cites work: Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models
cites work: Bourgain-Brézis-Mironescu formula for magnetic operators
DOI: 10.1137/24M1632577
description: scientific article; zbMATH DE number 7947648