Journal article icon

Journal article

Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions $N \geq 7$

Abstract:
For ε > 0, we consider the Ginzburg-Landau functional for R N -valued maps defined in the unit ball BN ⊂ R N with the vortex boundary data x on ∂BN . In dimensions N ≥ 7, we prove that for every ε > 0, there exists a unique global minimizer uε of this problem; moreover, uε is symmetric and of the form uε(x) = fε(|x|) x |x| for x ∈ BN .
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1016/j.crma.2018.07.006

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Edmund Hall
Role:
Author
Publisher:
Elsevier
Journal:
Comptes Rendus Mathématique More from this journal
Volume:
356
Issue:
9
Pages:
922-926
Publication date:
2018-08-14
Acceptance date:
2018-07-13
DOI:
ISSN:
1631-073X
Keywords:
Pubs id:
pubs:869329
UUID:
uuid:09df3f36-f967-4c12-b3c1-cdbde5fdad1e
Local pid:
pubs:869329
Deposit date:
2018-07-13

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP