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

Chen, Chiun-Chuan; Lin, Chang-Shou; Wang, Guofang

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 2, pp. 367-397.

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.

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