Aubin type almost sharp Moser-Trudinger inequality revisited

Fengbo Hang

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arXiv · 2108.10484

Aubin type almost sharp Moser-Trudinger inequality revisited

Fengbo Hang

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Abstract

We give a new proof of the almost sharp Moser-Trudinger inequality on compact Riemannian manifolds based on the sharp Moser inequality on Euclidean spaces. In particular we can lower the smoothness requirement of the metric and apply the same approach to higher order Sobolev spaces and manifolds with boundary under several boundary conditions.

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Fengbo Hang. 2021-08-24. Aubin type almost sharp Moser-Trudinger inequality revisited. https://arxiv.org/abs/2108.10484

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