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Aubin type almost sharp Moser-Trudinger inequality revisited (2108.10484v1)
Published 24 Aug 2021 in math.AP and math.CA
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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