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• W3136223147 abstract "We investigate Sobolev and Hardy inequalities, specifically weighted Minerbe’s type estimates, in noncompact complete connected Riemannian manifolds whose geometry is described by an isoperimetric profile. In particular, we assume that the manifold satisfies the $p$-hyperbolicity property, stated in terms of a necessary integral Dini condition on the isoperimetric profile. Our method seems to us to combine sharply the knowledge of the isoperimetric profile and the optimal Bliss type Hardy inequality depending on the geometry of the manifold. We recover the well known best Sobolev constant in the Euclidean case." @default.
• W3136223147 created "2021-03-29" @default.
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• W3136223147 date "2021-08-19" @default.
• W3136223147 modified "2023-10-11" @default.
• W3136223147 title "Some remarks on the Sobolev inequality in Riemannian manifolds" @default.
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• W3136223147 doi "https://doi.org/10.1090/proc/15774" @default.
• W3136223147 hasPublicationYear "2021" @default.
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