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Currently displaying 1 – 2 of 2

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Hardy inequalities and dynamic instability of singular Yamabe metrics

Adriano Pisante — 2006

Annales de l'I.H.P. Analyse non linéaire

Symmetry of local minimizers for the three-dimensional Ginzburg–Landau functional

Vincent Millot; Adriano Pisante — 2010

Journal of the European Mathematical Society

We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in $H_{loc}^{1} (ℝ^{3}; ℝ^{3})$ satisfying a natural energy bound. Up to translations and rotations,such solutions of the Ginzburg–Landau system are given by an explicit solution equivariant under the action of the orthogonal group.

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