Variational analysis of Toda systems

Abstract

The author surveys some recent progress on the Toda system on a twodimensional surface Σ, arising in models from self-dual non-abelian Chern-Simons vortices, as well as in differential geometry. In particular, its variational structure is analysed, and the role of the topological join of the barycentric sets of Σ is shown.

Keywords

Geometric PDEs / Variational Methods / Min-max Schemes

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