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Variational analysis of Toda systems

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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.

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Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 50126, Pisa, Italy

    Andrea Malchiodi

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  1. Andrea Malchiodi
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Correspondence to Andrea Malchiodi.

Additional information

To Haïm with admiration and gratitude

The author is supported by the project PRIN 2015 2015KB9WPT 001 and is a member of INdAM.

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Malchiodi, A. Variational analysis of Toda systems. Chin. Ann. Math. Ser. B 38, 539–562 (2017). https://doi.org/10.1007/s11401-017-1082-9

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  • DOI: https://doi.org/10.1007/s11401-017-1082-9

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