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arxiv: 0907.1962 · v2 · submitted 2009-07-11 · 🧮 math.AP

A non-existence result for the Ginzburg-Landau equations

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keywords equationsginzburg-landaufieldsadmitappliedclassconsiderconstant
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We consider the stationary Ginzburg-Landau equations in $\R^d$, $d=2,3$. We exhibit a class of applied magnetic fields (including constant fields) such that the Ginzburg-Landau equations do not admit finite energy solutions.

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