Moser-Trudinger inequalities for singular Liouville systems
arXiv:1410.4994
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.
22 pages, Accepted on Mathematische Zeitschrift