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

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

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

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

Abstract

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.

MR 2075988 | Zbl 1170.35413 | 2 citations in Numdam

Classification: 35J60, 58E11

@article{ASNSP_2004_5_3_2_367_0,
     author = {Chen, Chiun-Chuan and Lin, Chang-Shou and Wang, Guofang},
     title = {Concentration phenomena of two-vortex solutions in a Chern-Simons model},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 3},
     number = {2},
     year = {2004},
     pages = {367-397},
     zbl = {1170.35413},
     mrnumber = {2075988},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2004_5_3_2_367_0}
}

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, Volume 3 (2004) no. 2, pp. 367-397. http://www.numdam.org/item/ASNSP_2004_5_3_2_367_0/

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