A general existence result for the Toda system on compact surfaces

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.

28 pages, 1 figure, accepted on Advances in Mathematics

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Cited by in corpus (1)

• On the existence and blow-up of solutions for a mean field equation with variable intensities