@mastersthesis {2015,
	title = {Sharp Inequalities and Blow-up Analysis for Singular Moser-Trudinger Embeddings.},
	year = {2015},
	school = {SISSA},
	abstract = {We investigate existence of solutions for a singular Liouville equation on S^2 and prove sharp Onofri-type inequalities for a Moser-Trudinger functional in the presence of singular potentials. As a consequence we obtain existence of extremal functions for the Moser-Trudinger embedding on compact surfaces with conical singularities. Finally we study the blow-up behavior for sequences of solutions Liouville-type systems and prove a compactness condition which plays an important role in the variational analysis of Toda systems.},
	keywords = {Moser-Trudinger},
	author = {Gabriele Mancini}
}
@article {2015,
	title = {Singular Liouville Equations on S^2: Sharp Inequalities and Existence Results},
	year = {2015},
	abstract = {<p>We prove a sharp Onofri-type inequality and non-existence of extremals for a Moser-Tudinger functional on S^2 in the presence of potentials having positive order singularities. We also investigate the existence of critical points and give some sufficient conditions under symmetry or nondegeneracy assumptions.</p>},
	url = {http://urania.sissa.it/xmlui/handle/1963/34489},
	author = {Gabriele Mancini}
}
