This paper surveys some recent results on Toda systems of Liouville equations. These systems model self-dual non-abelian Chern-Simons vortices, and arise in the study of holomorphic curves. Suitable min-max schemes are employed, leading to existence of solutions in several situations. We will use in particular properties about concentration of exponential functions in order to describe low-energy levels of the Euler-Lagrange energy.
Min-max schemes for SU(3) Toda systems
MALCHIODI, ANDREA
2017
Abstract
This paper surveys some recent results on Toda systems of Liouville equations. These systems model self-dual non-abelian Chern-Simons vortices, and arise in the study of holomorphic curves. Suitable min-max schemes are employed, leading to existence of solutions in several situations. We will use in particular properties about concentration of exponential functions in order to describe low-energy levels of the Euler-Lagrange energy.File in questo prodotto:
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