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Carlo Morpurgo

Downloads: 1 Citations: 1 Articles: 1

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Information Sciences

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Research Article (1)

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2026 (1)

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Open Access Research Article Issue

Moser-Trudinger inequalities on 2-dimensional Hadamard manifolds

Carlo Morpurgo, Liuyu Qin

AIMS Mathematics 2024, 9(7): 19670-19676

Published: 15 July 2024

Abstract

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We derive two types of sharp Moser-Trudinger inequalities on complete, simply connected, two-dimensional Riemannian manifolds whose sectional curvatures $K$ satisfy the bounds $- b^{2} \leq K \leq - a^{2} < 0$ .

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