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2 results on '"46E35, 26D10, 35A23, 58E35"'

1. Remarks on the Moser-Trudinger inequality

Author

Battaglia, Luca and Mancini, Gabriele

Subjects
Mathematics - Analysis of PDEs, 46E35, 26D10, 35A23, 58E35
Abstract

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., Comment: 32 pages, accepted on Advances in Nonlinear Analysis

Published
2013
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2. Remarks on the Moser-Trudinger inequality

Author

Luca Battaglia, Gabriele Mancini, Battaglia, Luca, and Mancini, Gabriele

Subjects
Unit sphere, Extremal, Metrics, Moser, Strip, Trudinger, Unbounded, Analysis, QA299.6-433, Pure mathematics, Inequality, media_common.quotation_subject, Mathematics::Analysis of PDEs, Conformal map, 46E35, 26D10, 35A23, 58E35, Mathematics - Analysis of PDEs, FOS: Mathematics, Euclidean domain, Metric, Equivalence (measure theory), Mathematics, Counterexample, media_common, Analysis of PDEs (math.AP)
Abstract

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., Comment: 32 pages, accepted on Advances in Nonlinear Analysis

Published
2013

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