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arXiv:1307.0746 [math.AP]AbstractReferencesReviewsResources

Remarks on the Moser-Trudinger inequality

Luca Battaglia, Gabriele Mancini

Published 2013-07-02, updated 2013-10-07Version 2

We extend the Moser-Trudinger inequality to any Euclidean domain satisfying Poincar\'e's inequality. We find out that the same equivalence does not hold in general for conformal metrics on the unit ball, showing counterexamples. We also study the existence of extremals for the Moser-Trudinger inequalities for unbounded domains, proving it for the infinite planar strip.

Comments: 32 pages, accepted on Advances in Nonlinear Analysis
Categories: math.AP
Subjects: 46E35, 26D10, 35A23, 58E35
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