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Research Article | Open Access

Moser-Trudinger inequalities on 2-dimensional Hadamard manifolds

Carlo Morpurgo1( ), Liuyu Qin2
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
Department of Mathematics and statistics, Hunan University of Finance and Economics, Changsha, Hunan, China
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Abstract

We derive two types of sharp Moser-Trudinger inequalities on complete, simply connected, two-dimensional Riemannian manifolds whose sectional curvatures K satisfy the bounds − b 2 ≤ K ≤ − a 2 < 0.

Keywords

Moser-Trudinger inequalitiesHadamard manifolds
CLC number: 46E36, 26D10

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 19670-19676
DOI: 10.3934/math.2024959

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Cite this article:
Morpurgo C, Qin L. Moser-Trudinger inequalities on 2-dimensional Hadamard manifolds. AIMS Mathematics, 2024, 9(7): 19670-19676. https://doi.org/10.3934/math.2024959

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Received: 17 April 2024
Revised: 05 June 2024
Accepted: 07 June 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)