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• W2470932275 abstract "The purpose of this paper is to establish some Adams-Moser-Trudinger inequalities, which are the borderline cases of the Sobolev embedding, in the hyperbolic space $mathbb H^n$. First, we prove a sharp Adams inequality of order two with the exact growth condition in $mathbb H^n$. Then we use it to derive a sharp Adams-type inequality and an Adachi-Tanaka-type inequality. We also prove a sharp Adams-type inequality with Navier boundary condition on any bounded domain of $mathbb H^n$, which generalizes the result of Tarsi to the setting of hyperbolic spaces. Finally, we establish a Lions-type lemma and an improved Adams-type inequality in the spirit of Lions in $mathbb H^n$. Our proofs rely on the symmetrization method extended to hyperbolic spaces." @default.
• W2470932275 created "2016-07-22" @default.
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• W2470932275 date "2016-06-22" @default.
• W2470932275 modified "2023-10-16" @default.
• W2470932275 title "Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space" @default.
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• W2470932275 hasPublicationYear "2016" @default.
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