Journal article

On the uniqueness of minimisers of Ginzburg-Landau functionals: Sur l'unicité des minimiseurs de la fonctionnelle de Ginzburg-Landau

Abstract:: We provide necessary and sufficient conditions for the uniqueness of minimisers of the Ginzburg-Landau functional for Rn-valued maps under a suitable convexity assumption on the potential and for H1/2 ∩ L1 boundary data that is non-negative in a fixed direction e ∈ Sn−1. Furthermore, we show that, when minimisers are not unique, the set of minimisers is generated from any of its elements using appropriate orthogonal transformations of Rn. We also prove corresponding results for harmonic maps.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Ignat, R., Nguyen, L., Slastikov, V., & Zarnescu, A. (2020). On the uniqueness of minimisers of Ginzburg-Landau functionals: Sur l'unicité des minimiseurs de la fonctionnelle de Ginzburg-Landau. Annales Scientifiques De l'École Normale Supérieure, 53(3), 589–613.

MLA Style

Ignat, R, et al. “On the Uniqueness of Minimisers of Ginzburg-Landau Functionals: Sur l'Unicité Des Minimiseurs De La Fonctionnelle De Ginzburg-Landau.” Annales Scientifiques De l'École Normale Supérieure, vol. 53, no. 3, 2020, pp. 589–613.

Chicago Style

Ignat, R, L Nguyen, V Slastikov, and A Zarnescu. 2020. “On the Uniqueness of Minimisers of Ginzburg-Landau Functionals: Sur l'Unicité Des Minimiseurs De La Fonctionnelle De Ginzburg-Landau.” Annales Scientifiques De l'École Normale Supérieure 53 (3): 589–613.
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Files:: Final-minGL-INSZ.pdf

(Preview, Accepted manuscript, pdf, 341.9KB, Terms of use)

Publisher copy:: 10.24033/asens.2429

Authors

+ Ignat, R More by this author

Role:: Author

+ Nguyen, L More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: St Edmund Hall
Role:: Author

+ Slastikov, V More by this author

Role:: Author

+ Zarnescu, A More by this author

Role:: Author

Publisher:: Société Mathématique de France
Journal:: Annales Scientifiques de l'École Normale Supérieure More from this journal
Volume:: 53
Issue:: 3
Pages:: 589-613
Publication date:: 2020-01-01
Acceptance date:: 2018-07-05
DOI:: 10.24033/asens.2429
ISSN:: 0012-9593

Language:: English
Pubs id:: pubs:865226
UUID:: uuid:2a07763e-d44f-4fbe-86c4-7c5ed783528e
Local pid:: pubs:865226
Source identifiers:: 865226
Deposit date:: 2018-07-08
ARK identifier:: ark:/29072/ora_2a07763ed44f4fbe86c47c5ed783528e

Terms of use

Copyright holder:: Société Mathématique de France
Copyright date:: 2020
Rights statement:: Copyright 2020 Société Mathématique de France
Notes:: This is the accepted manuscript version of the article. The final version is available from Société Mathématique de France at https://doi.org/10.24033/asens.2429

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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