Abstract

AbstractWe review results concerning optimal Sobolev inequalities in Riemannian manifolds and recent existence/non existence/uniqueness results for Sobolev extremals in the hyperbolic space \(\mathbb{H}^n\). We alsodi scuss exponential integrability in \(\mathbb{H}\), the hyperbolic plane, and related topics.KeywordsSharp Sobolev and Moser inequalitieshyperbolic space

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