The Library
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation
Tools
Arroyo-Rabasa, Adolfo and Bonicatto, Paolo (2022) A Bourgain-Brezis-Mironescu representation for functions with bounded deformation. Calculus of Variations and Partial Differential Equations, 62 . 33. doi:10.1007/s00526-022-02350-0 ISSN 0944-2669.
|
PDF
WRAP-Bourgain-Brezis-Mironescu-representation-functions-bounded-deformation-Bonicatto-2022.pdf - Accepted Version - Requires a PDF viewer. Download (595Kb) | Preview |
Official URL: https://doi.org/10.1007/s00526-022-02350-0
Abstract
We establish a non-local integral difference quotient representation for symmetric gradient semi-norms in BD(Ω) and LD(Ω), which does not require the manipulation of distributional derivatives. Our representation extends the formulas for the symmetric gradient established by Mengesha for vector-fields in W1,p(Ω;Rd), which are inspired by the gradient semi-norm formulas introduced by Bourgain, Brezis and Mironescu in W1,p(Ω) and by Dávila in BV(Ω).
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Differential equations, Calculus of variations, Geometry, Boundary value problems, Elasticity | ||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||
Publisher: | Springer | ||||||
ISSN: | 0944-2669 | ||||||
Official Date: | 9 November 2022 | ||||||
Dates: |
|
||||||
Volume: | 62 | ||||||
Article Number: | 33 | ||||||
DOI: | 10.1007/s00526-022-02350-0 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00526-022-02350-0 | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 10 October 2022 | ||||||
Date of first compliant Open Access: | 9 November 2023 | ||||||
RIOXX Funder/Project Grant: |
|
||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year