38 citations · 135 across the 21 of their papers we have counts for
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math.AP2013★ 21 cited
A Moser-Trudinger inequality for the singular Toda system
Luca Battaglia, Andrea Malchiodi
In this paper we prove a sharp version of the Moser-Trudinger inequality for the Euler-Lagrange functional of a singular Toda system, motivated by the study of models in Chern-Simo…
math.AP2013★ 16 cited
Remarks on the Moser-Trudinger inequality
Luca Battaglia, Gabriele Mancini
We extend the Moser-Trudinger inequality to any Euclidean domain satisfying Poincaré's inequality. We find out that the same equivalence does not hold in general for conformal metr…
math.AP2013★ 3 cited
A general existence result for the Toda system on compact surfaces
Luca Battaglia, Aleks Jevnikar, Andrea Malchiodi +1
In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existe…