Liouville-type problems on compact surfaces: a variational approach – Aleks Jevnikar


Sala Seminari (Dip. Matematica).


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. We discuss its variational aspects which yield existence results.

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