Boundary value problems of the Ginzburg-Landau equations

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Abstract

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 languageEnglish (US)
Pages (from-to)355-365
Number of pages11
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume114
Issue number3-4
DOIs
StatePublished - 1990

ASJC Scopus subject areas

  • Mathematics(all)

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