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Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
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http://hub.abes.fr/edp/periodical/cocv/2008/volume_16/issue_1/w
Subject
superconductivity
uniqueness
Variational methods for elliptic systems
Methods involving semicontinuity and convergence; relaxation
Chern-Simons-Higgs theory
Meissner solution
Title
Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
Date
2008-01-01
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http://hub.abes.fr/edp/periodical/cocv/2008/volume_16/issue_1/cocv0815/m/web
http://hub.abes.fr/edp/periodical/cocv/2008/volume_16/issue_1/cocv0815/m/print
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http://hub.abes.fr/edp/periodical/cocv/2008/volume_16/issue_1/cocv0815/authorship/1
http://hub.abes.fr/edp/periodical/cocv/2008/volume_16/issue_1/cocv0815/authorship/2
Author
Yan, Xiaodong
Spirn, Daniel
Abstract
For external magnetic field hex ≤ Cε -α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.
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cocv0815
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2008-01-01
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© EDP Sciences, SMAI, 2008
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