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math.AP2015★ 5 cited
Adams' inequality with exact growth in the hyperbolic space and Lions lemma
Debabrata Karmakar
In this article we prove Adams inequality with exact growth condition in the four dimensional hyperbolic space \begin{align} \int_{\mathbb{H}^4} \frac{e^{32 π^2 u^2…
math.AP2015
Adam's Inequality on the Hyperbolic space
Debabrata Karmakar, Kunnath Sandeep
In this article we establish an Adam's Inequality in the Hyperbolic space. As an application we will also prove the asymptotic behaviour of the best constants in the Sobolev inequa…