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arXiv:1410.4994 [math.AP]AbstractReferencesReviewsResources

Moser-Trudinger inequalities for singular Liouville systems

Luca Battaglia

Published 2014-10-18, updated 2015-04-15Version 2

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.

Comments: 23 pages
Categories: math.AP
Subjects: 35A23, 35J47, 35J50, 58E35
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