A Moser-Trudinger inequality for the singular Toda system
Analysis of PDEs
2013-10-08 v3
Abstract
In this paper we prove a sharp version of the Moser-Trudinger inequality for the Euler-Lagrange functional of a singular Toda system, motivated by the study of models in Chern-Simons theory. Our result extends those for the scalar case, as well as for the regular Toda system. We expect this inequality to be a basic tool to attack variationally the existence problem under general assumptions.
Keywords
Cite
@article{arxiv.1307.3921,
title = {A Moser-Trudinger inequality for the singular Toda system},
author = {Luca Battaglia and Andrea Malchiodi},
journal= {arXiv preprint arXiv:1307.3921},
year = {2013}
}
Comments
13 pages, accepted on Bulletin of the Institute of Mathematica Academia Sinica