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\le K\le -a^2 < 0 $.
Citation: Carlo Morpurgo, Liuyu Qin. Moser-Trudinger inequalities on 2-dimensional Hadamard manifolds[J]. AIMS Mathematics, 2024, 9(7): 19670-19676. doi: 10.3934/math.2024959
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\le K\le -a^2 < 0 $.
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Carlo Morpurgo, Liuyu Qin. Moser-Trudinger inequalities on 2-dimensional Hadamard manifolds[J]. AIMS Mathematics, 2024, 9(7): 19670-19676. doi: 10.3934/math.2024959
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