Onofri-type inequalities for singular Liouville equations
Analysis of PDEs
2014-08-29 v1 Differential Geometry
Abstract
We study the blow-up behaviour 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.
Cite
@article{arxiv.1408.6722,
title = {Onofri-type inequalities for singular Liouville equations},
author = {Gabriele Mancini},
journal= {arXiv preprint arXiv:1408.6722},
year = {2014}
}