Microscopic renormalized energy for a pinned Ginzburg–Landau functional
Tóm tắt
We study the vortex location for minimizers of a Ginzburg–Landau energy with a discontinuous constraint. The discontinuous constraint appears in the potential
$$(a^2-|u|^2)^2$$
. The function
$$a$$
is piecewise constant: it takes the value
$$0
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