Abstract
ABSTRACTWe describe the asymptotic behavior of critical points of when 𝜀→0. Here, W is a Ginzburg–Landau-type potential, vanishing on a simple closed curve Γ. Unlike the case of the standard Ginzburg–Landau potential , studied by Bethuel, Brezis and Hélein, we do not assume any symmetry on W or Γ. To overcome the difficulties due to the lack of symmetry, we develop new tools which might be of independent interest.
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