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Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

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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… Click to show full abstract

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 R2 has infinitely many multi-vortex solutions for μ > 0 being sufficiently small.

Keywords: ginzburg landau; magnetic ginzburg; external potentials; landau equation; equation external

Journal Title: Journal of Mathematical Physics
Year Published: 2021

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