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BIRS Workshop Lecture Videos

Blowing-up solutions for the Toda system Ruiz, David


The Toda system appears naturally in the non abelian Chern-Simons theory, and has been very much studied recently. It can also be regarded as a natural generalization to systems of the Liouville equation. In this talk we first survey some of the known results obtained by different approaches: blow-up analysis, degree theory, variational methods \dots Secondly we present constructions of blowing-up solutions for the Toda system. Those solutions have the common feature that one component is not quantized, and some global mass is present. This is a phenomenon with no analogue in the single equation case. This is joint work with Teresa D'Aprile (Rome II) and Angela Pistoia (Rome I).

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