Volume 16, Number 1, January-March 2010
|Page(s)||23 - 36|
|Published online||21 October 2008|
Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
University of Minnesota, USA. firstname.lastname@example.org
2 University of Connecticut, USA. email@example.com
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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