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The stability of the radial solution to the Ginzburg-Landau equation. (English) Zbl 0877.35018
The eigenvalues of the first Fréchet derivative of the Ginzburg-Landau operator at a radial solution are discussed. For the degree one case, it is also shown that the radial solution uniquely minimizes the corresponding energy functional.

MSC:
35B35 Stability in context of PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
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References:
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