TY - JOUR
T1 - Curl-free Ginzburg-Landau vortices
AU - Chanillo, Sagun
AU - Kiessling, Michael K.H.
N1 - Funding Information:
We wish to thank H. Brezis for introducing us to this problem and for his continued interest and encouragement. Thanks go to J.J. Aly for his comments on the single zero condition, and to P. Mironescu for communicating his results to us prior to publication, and for interesting discussions. The work of S.C. was supported by NSF Grant # DMS-9623079. The work of M.K. was supported in parts by NSF Grant # DMS-9623220.
PY - 1999/12
Y1 - 1999/12
N2 - A new technique to account for the system of Ginzburg-Landau equations is introduced. It is shown that this technique applies to a wide class of PDE problems in two dimensions and requires only mild control of solutions at infinity.
AB - A new technique to account for the system of Ginzburg-Landau equations is introduced. It is shown that this technique applies to a wide class of PDE problems in two dimensions and requires only mild control of solutions at infinity.
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U2 - 10.1016/S0362-546X(98)00137-0
DO - 10.1016/S0362-546X(98)00137-0
M3 - Article
AN - SCOPUS:0033339587
SN - 0362-546X
VL - 38
SP - 933
EP - 949
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 8
ER -