New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces
Analysis of PDEs
2011-05-19 v2
Abstract
We consider a singular Liouville equation on a compact surface, arising from the study of Chern-Simons vortices in a self dual regime. Using new improved versions of the Moser-Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.
Keywords
Cite
@article{arxiv.1007.3861,
title = {New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces},
author = {Andrea Malchiodi and David Ruiz},
journal= {arXiv preprint arXiv:1007.3861},
year = {2011}
}
Comments
to appear in GAFA