JournalsaihpcVol. 16, No. 2pp. 255–267

A remark on multiplicity of solutions for the Ginzburg–Landau equation

  • Feng Zhou

    Department of Mathematics, East China Normal University, Shanghai 200062, China

  • Qing Zhou

    Department of Mathematics, East China Normal University, Shanghai 200062, China
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Abstract

In this paper we study the structure of certain level set of the Ginzburg-Landau functional which has similar topology with the configuration space. As an application, we generalize Almeida–Bethuel's result on multiplicity of solutions for the Ginzburg–Landau equation.

Résumé

On étudie la structure de certains ensembles de niveau de la fonctionnelle du type Ginzburg–Landau qui ont des topologies similaires à celles de l’espace de configuration. Comme application, on généralise le résultat d’Almeida–Bethuel sur la multiplicité des solutions des équations de G–L.

Cite this article

Feng Zhou, Qing Zhou, A remark on multiplicity of solutions for the Ginzburg–Landau equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 2, pp. 255–267

DOI 10.1016/S0294-1449(99)80014-6