TY - JOUR T1 - Onofri-Type Inequalities for Singular Liouville Equations Y1 - 2015 A1 - Gabriele Mancini AB -

We study the blow-up behavior of minimizing sequences for the singular Moser–Trudinger functional on compact surfaces. Assuming non-existence of minimum points, we give an estimate for the infimum value of the functional. This result can be applied to give sharp Onofri-type inequalities on the sphere in the presence of at most two singularities.

PB - Springer US U1 - 34668 U2 - Mathematics U4 - 1 U5 - MAT/05 ER -