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., ?? We are interested in the asymptotic behavior of uε as ε goes to zero under the assumption that Eε(uε) ≤ M0 |log ε| and some conditions on gε which allow singularities of dimension N - 3 on ∂Ω.
All Science Journal Classification (ASJC) codes