Geodesic
Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 23-36

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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.

DOI : 10.1051/cocv:2008062
Classification : 35J50, 49J45
Keywords: Chern-Simons-Higgs theory, superconductivity, uniqueness, meissner solution 
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     title = {Uniqueness of stable {Meissner} state solutions of the {Chern-Simons-Higgs} energy},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {23--36},
     publisher = {EDP-Sciences},
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     doi = {10.1051/cocv:2008062},
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     zbl = {1186.35054},
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Spirn, Daniel; Yan, Xiaodong. Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 23-36. doi: 10.1051/cocv:2008062

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