@article {2011,
	title = {New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces},
	journal = {Geometric and Functional Analysis 21 (2011) 1196-1217},
	number = {SISSA;74/2010/M},
	year = {2011},
	publisher = {Springer},
	abstract = {We consider a singular Liouville equation on a compact surface, arising from the study of Chern-Simons vortices in a self dual regime. Using new improved versions of the Moser-Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.},
	doi = {10.1007/s00039-011-0134-7},
	url = {http://hdl.handle.net/1963/4099},
	author = {Andrea Malchiodi and David Ruiz}
}
