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The existence of multiple solutions for a Ginzburg–Landau type model of superconductivity
Published online by Cambridge University Press: 26 September 2008
Abstract
We study a system of two second-order differential equations with cubic nonlinearities which model a film of superconductor material subjected to a tangential magnetic field. We verify some recent conjectures of one of the authors about multiplicity of solutions. We show that for an appropriate range of parameter values the relevant boundary value problem has at least two symmetric solutions. It is also proved that a second range of parameters exists for which there are three symmetric solutions.
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- Copyright © Cambridge University Press 1996
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