Seminar Analysis: Aleks Jevnikar (University of Rome, Tor Vergata)

Variational aspects of Liouville equations and systems on compact surfaces

A class of Liouville equations and systems on compact surfaces is considered: we focus on the Toda system which is motivated in mathematical physics by the study of models in non-abelian Chern-Simons theory and in geometry in the description of holomorphic curves in complex analysis. We discuss its variational aspects which yield existence results. 

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