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Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
Published online by Cambridge University Press: 21 October 2008
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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 1 , January 2010 , pp. 23 - 36
- Copyright
- © EDP Sciences, SMAI, 2008