Abstract

Let Ω be a bounded, simply connected, regular domain of RN, N⩾2. For 0<ε<1, let uε:Ω→C be a smooth solution of the Ginzburg–Landau equation in Ω with Dirichlet boundary condition gε, i.e.,[formula] We are interested in the asymptotic behavior of uε as ε goes to zero under the assumption that Eε(uε)⩽M0|logε| and some conditions on gε which allow singularities of dimension N−3 on ∂Ω.

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