Concentration phenomena of two-vortex solutions in a Chern-Simons model

• Chiun-Chuan Chen ^[3] ; Chang-Shou Lin ^[1] ; Guofang Wang ^[2]
  1. [1] National Chung Cheng University

     National Chung Cheng University

     W. District, Taiwán

     
  2. [2] Max Planck Institute for Mathematics in the Sciences

     Max Planck Institute for Mathematics in the Sciences

     Kreisfreie Stadt Leipzig, Alemania

     
  3. [3] Taiwan University, Taiwan

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 2, 2004, págs. 367-397
• Idioma: inglés
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• Resumen

  • By considering an Abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus.

    A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.