Geodesic
Concentration phenomena of two-vortex solutions in a Chern-Simons model
Chen, Chiun-Chuan1  ; Lin, Chang-Shou2  ; Wang, Guofang3
1 Department of Mathematics Taiwan University Taipei, Taiwan
2 Department of Mathematics Chung-Cheng University Minghsiung, Chia-Yi 621 Taiwan
3 Max-Planck-Institute for Mathematics in the Sciences Inselstr. 22-26 04103 Leipzig, Germany
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 2, pp. 367-397

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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.

Classification : 35J60, 58E11

Chen, Chiun-Chuan 1 ; Lin, Chang-Shou 2 ; Wang, Guofang 3

1 Department of Mathematics Taiwan University Taipei, Taiwan
2 Department of Mathematics Chung-Cheng University Minghsiung, Chia-Yi 621 Taiwan
3 Max-Planck-Institute for Mathematics in the Sciences Inselstr. 22-26 04103 Leipzig, Germany 
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     title = {Concentration phenomena of two-vortex solutions in a {Chern-Simons} model},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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     publisher = {Scuola Normale Superiore, Pisa},
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Chen, Chiun-Chuan; Lin, Chang-Shou; Wang, Guofang. Concentration phenomena of two-vortex solutions in a Chern-Simons model. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 2, pp. 367-397. http://geodesic.mathdoc.fr/item/ASNSP_2004_5_3_2_367_0/