In this paper, we consider the magnetic Ginzburg–Landau equation with external potentials μV(x) for the type II superconductors. We prove, by reduction arguments, that under suitable conditions on V(x), the magnetic Ginzburg–Landau equation with external potentials in ${\mathbb{R}}^2$ has infinitely many multi-vortex solutions for μ > 0 being sufficiently small.

中文翻译：

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外部势为inR2的Ginzburg-Landau磁性方程的无限多个多涡旋解

在本文中，我们考虑了II型超导体具有外部电势μV（x）的磁性Ginzburg-Landau方程。我们通过归约论证证明，在V（x）的适当条件下，具有在${\mathbb{[R}}^{\mathrm{2个}}$当μ > 0足够小时，具有无限多个多涡旋解。