TY - THES T1 - Sharp Inequalities and Blow-up Analysis for Singular Moser-Trudinger Embeddings. Y1 - 2015 A1 - Gabriele Mancini KW - Moser-Trudinger AB - 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. PB - SISSA U1 - 34738 U2 - Mathematics U4 - 1 U5 - MAT/05 ER -