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 -
TY - RPRT
T1 - Singular Liouville Equations on S^2: Sharp Inequalities and Existence Results
Y1 - 2015
A1 - Gabriele Mancini
AB - 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.

UR - http://urania.sissa.it/xmlui/handle/1963/34489
U1 - 34672
U2 - Mathematics
U4 - 1
U5 - MAT/05
ER -