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Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy

Daniel Spirn; Xiaodong Yan — 2010

ESAIM: Control, Optimisation and Calculus of Variations

For external magnetic field ≤ , 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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