Curl-Free Ginzburg-Landau Vortices
classification
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math-phmath.MP
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curl-freeginzburg-landauinequalityradialvorticescertainclassicaldecreasing
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For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.
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