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arXiv · 1306.5404

A general existence result for the Toda system on compact surfaces

Luca Battaglia·Aleks Jevnikar·Andrea Malchiodi·David Ruiz
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Abstract

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.

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Luca Battaglia, Aleks Jevnikar, Andrea Malchiodi, David Ruiz. 2013-06-23. A general existence result for the Toda system on compact surfaces. https://arxiv.org/abs/1306.5404

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