Voir la notice de l'article provenant de la source Numdam
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.
@article{COCV_2010__16_1_23_0,
author = {Spirn, Daniel and Yan, Xiaodong},
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},
volume = {16},
number = {1},
year = {2010},
doi = {10.1051/cocv:2008062},
mrnumber = {2598086},
zbl = {1186.35054},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008062/}
}
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 PY - 2010 SP - 23 EP - 36 VL - 16 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008062/ DO - 10.1051/cocv:2008062 LA - en ID - COCV_2010__16_1_23_0 ER -
%0 Journal Article %A Spirn, Daniel %A Yan, Xiaodong %T Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 23-36 %V 16 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008062/ %R 10.1051/cocv:2008062 %G en %F COCV_2010__16_1_23_0
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
Cité par Sources :