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Sobolev inequalities in 2-D hyperbolic space: A borderline case

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Publication:1295945
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DOI10.1155/S1025583498000125zbMath0935.26005OpenAlexW2160003982MaRDI QIDQ1295945

Giorgio Talenti, Francesco Mugelli

Publication date: 24 October 1999

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120209

zbMATH Keywords

Euler equationhyperbolic spacecalculus of variationsSobolev inequalitiestest functionsPoincaré-Bergman metric


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)


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\(d_p\)-convergence and \(\epsilon\)-regularity theorems for entropy and scalar curvature lower bounds, Extremals for Sobolev and Moser inequalities in hyperbolic space, On the Grushin operator and hyperbolic symmetry, Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space, On a weighted Sobolev embedding on the upper half-space in a borderline case



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