Seminar Analysis: Gabriele Mancini (SISSA/ISAS)

Compactness Properties for Singular Liouville Equations and Systems

I will give a brief overview of the main results concerning topological methods for singular Liouville equations on compact surfaces, and I will show how to extend some of them to special elliptic systems. My analysis will focus on sharp forms of the Moser-Trudinger inequality and on mass-quantization results for the SU(3) Toda System.

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