00685nas a2200097   4500008004100000245008200041210006900123520032200192100002200514856005100536       2015                        en  d00aSingular Liouville Equations on S^2: Sharp Inequalities and Existence Results0 aSingular Liouville Equations on S2 Sharp Inequalities and Existe3 a<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>1 aMancini, Gabriele  uhttp://urania.sissa.it/xmlui/handle/1963/34489