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Boundary value problems of the Ginzburg–Landau equations

Published online by Cambridge University Press:  14 November 2011

Yisong Yang
Yisong Yang
Affiliation:
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, U.S.A.
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Synopsis

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, thesize 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 3-4 , 1990 , pp. 355 - 365
Copyright
Copyright © Royal Society of Edinburgh 1990

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