@article {2011,
	title = {A class of existence results for the singular Liouville equation},
	journal = {Comptes Rendus Mathematique 349 (2011) 161-166},
	year = {2011},
	publisher = {Elsevier},
	abstract = {We consider a class of elliptic PDEs on closed surfaces with exponential nonlinearities and Dirac deltas on the right-hand side. The study arises from abelian Chern{\textendash}Simons theory in self-dual regime, or from the problem of prescribing the Gaussian curvature in presence of conical singularities. A general existence result is proved using global variational methods: the analytic problem is reduced to a topological problem concerning the contractibility of a model space, the so-called space of formal barycenters, characterizing the very low sublevels of a suitable functional.},
	doi = {10.1016/j.crma.2010.12.016},
	url = {http://hdl.handle.net/1963/5793},
	author = {Alessandro Carlotto and Andrea Malchiodi}
}
