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.
|Original language||English (US)|
|Number of pages||11|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|State||Published - 1990|
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