Issue |
ESAIM: COCV
Volume 16, Number 1, January-March 2010
|
|
---|---|---|
Page(s) | 23 - 36 | |
DOI | https://doi.org/10.1051/cocv:2008062 | |
Published online | 21 October 2008 |
Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
1
University of Minnesota, USA. spirn@math.umn.edu
2
University of Connecticut, USA. xiaodong@math.uconn.edu
Received:
7
February
2008
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.
Mathematics Subject Classification: 35J50 / 49J45
Key words: Chern-Simons-Higgs theory / superconductivity / uniqueness / Meissner solution
© EDP Sciences, SMAI, 2008
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