JournalsaihpcVol. 12, No. 5pp. 599–622

Solutions of Ginzburg-Landau equations and critical points of the renormalized energy

  • Fang Hua Lin

    Courant Institute of Mathematical Sciences 251 Mercer Street New York, NY 10012, USA
Solutions of Ginzburg-Landau equations and critical points of the renormalized energy cover
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Abstract

Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy Wg introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of Wg have their associated solutions of GL-equations.

Résumé

On établit une relation entre Ies solutions de l’équation de Ginzburg-Landau et les points critiques de l’énergie renormalisée Wg introduite dans Ies travaux récents de Bethuel-Brezis et Helein. En particulier, tout minimum local non dégénéré de Wg est associé à une famille de solutions des équations de G-L.

Cite this article

Fang Hua Lin, Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), no. 5, pp. 599–622

DOI 10.1016/S0294-1449(16)30152-4