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math.AP2014
A note on compactness properties of the singular Toda system
Luca Battaglia, Gabriele Mancini
In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface Σ. In particular, we give a complete proof of the compactness result stated by Jost, L…
math.AP2014
Onofri-type inequalities for singular Liouville equations
Gabriele Mancini
We study the blow-up behaviour of minimizing sequences for the singular Moser-Trudinger functional on compact surfaces. Assuming non-existence of minimum points, we give an estimat…