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

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 1, page 23-36
- ISSN: 1292-8119

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topSpirn, Daniel, and Yan, Xiaodong. "Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 23-36. <http://eudml.org/doc/250745>.

@article{Spirn2010,

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.},

author = {Spirn, Daniel, Yan, Xiaodong},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Chern-Simons-Higgs theory; superconductivity; uniqueness; Meissner solution},

language = {eng},

month = {1},

number = {1},

pages = {23-36},

publisher = {EDP Sciences},

title = {Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy},

url = {http://eudml.org/doc/250745},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Spirn, Daniel

AU - Yan, Xiaodong

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/1//

PB - EDP Sciences

VL - 16

IS - 1

SP - 23

EP - 36

AB -
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.

LA - eng

KW - Chern-Simons-Higgs theory; superconductivity; uniqueness; Meissner solution

UR - http://eudml.org/doc/250745

ER -

## References

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