TY - JOUR
T1 - Boundary value problems of the Ginzburg-Landau equations
AU - Yang, Yisong
PY - 1990
Y1 - 1990
N2 - For a domain Ω in the Euclidean space Rd (d = 2, 3) existence of weak solutions for both interior and exterior Dirichlet boundary value problems of the Ginzburg-Landau equations are established without any restriction on the range of the coupling constant λ, the size of Ω, or the boundary data. For the critical choice λ = 1, we prove the existence of confined multivortices in a bounded domain by a constructive monotone iteration method.
AB - For a domain Ω in the Euclidean space Rd (d = 2, 3) existence of weak solutions for both interior and exterior Dirichlet boundary value problems of the Ginzburg-Landau equations are established without any restriction on the range of the coupling constant λ, the size of Ω, or the boundary data. For the critical choice λ = 1, we prove the existence of confined multivortices in a bounded domain by a constructive monotone iteration method.
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U2 - 10.1017/S0308210500024471
DO - 10.1017/S0308210500024471
M3 - Article
AN - SCOPUS:84974270184
SN - 0308-2105
VL - 114
SP - 355
EP - 365
JO - Proceedings of the Royal Society of Edinburgh: Section A Mathematics
JF - Proceedings of the Royal Society of Edinburgh: Section A Mathematics
IS - 3-4
ER -