Moser-Trudinger inequalities for singular Liouville systems
Analysis of PDEs
2015-11-19 v4
Abstract
In this paper we prove a Moser-Trudinger inequality for the Euler-Lagrange functional of a general singular Liouville system. We characterize the values of the parameters which yield coercivity for the functional and we give necessary conditions for boundedness from below. We also provide a sharp inequality under some assumptions on the coefficients of the system.
Keywords
Cite
@article{arxiv.1410.4994,
title = {Moser-Trudinger inequalities for singular Liouville systems},
author = {Luca Battaglia},
journal= {arXiv preprint arXiv:1410.4994},
year = {2015}
}
Comments
22 pages, Accepted on Mathematische Zeitschrift