arXiv:1306.5404 Abstract | arXiv Analytics

arXiv:1306.5404 [math.AP]Abstract References Reviews Resources

A general existence result for the Toda system on compact surfaces

Luca Battaglia, Aleks Jevnikar, Andrea Malchiodi, David Ruiz

Published 2013-06-23, updated 2015-09-02Version 4

In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existence result using variational methods. The same analysis applies to a mean field equation which arises in fluid dynamics.

Comments: 28 pages, 1 figure, accepted on Advances in Mathematics

Categories: math.AP

Subjects: 35J50, 35J61, 35R01

Keywords: general existence result, toda system, compact surface, non-abelian chern-simons theory, mean field equation

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