Geodesic
Solutions for Toda systems on Riemann surfaces
Li, Jiayu1 ; Li, Yuxiang2
1 Math. Group The abdus salam ICTP 34100 Trieste, Italy and Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100080, P. R. of China
2 Math. Group The abdus salam ICTP 34100 Trieste, Italy
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 703-728

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In this paper we study the solutions of Toda systems on Riemann surface in the critical case, proving a sufficient condition for existence.

Classification : 35J60, 58G03, 35J45

Li, Jiayu 1 ; Li, Yuxiang 2

1 Math. Group The abdus salam ICTP 34100 Trieste, Italy and Academy of Mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100080, P. R. of China
2 Math. Group The abdus salam ICTP 34100 Trieste, Italy 
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     title = {Solutions for {Toda} systems on {Riemann} surfaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 4},
     number = {4},
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     zbl = {1170.35410},
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Li, Jiayu; Li, Yuxiang. Solutions for Toda systems on Riemann surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 703-728. http://geodesic.mathdoc.fr/item/ASNSP_2005_5_4_4_703_0/