38 citations · 135 across the 21 of their papers we have counts for
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math.AP2014★ 1 cited
Moser-Trudinger inequalities for singular Liouville systems
Luca Battaglia
In this paper we prove a Moser-Trudinger inequality for the Euler-Lagrange functional of a general singular Liouville system. We characterize the values of the parameters which yie…
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★ 27 cited
Existence and multiplicity result for the singular Toda system
Luca Battaglia
We consider the Toda system on a compact surface. We give existence and multiplicity results, using variational and Morse-theoretical methods. It is the first existence result when…