The Euclidean Onofri Inequality in Higher Dimensions

DOI10.1093/imrn/rns119zbMath1316.26025arXiv1201.2162OpenAlexW1985429641MaRDI QIDQ5251459

Jean Dolbeault, Manuel A. del Pino

Publication date: 20 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2162

zbMATH Keywords

Sobolev inequalityinterpolation inequalitySobolev-Orlicz norm

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Optimal functional inequalities for fractional operators on the sphere and applications ⋮ Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities ⋮ Norm constants in cases of the Caffarelli-Kohn-Nirenberg inequality ⋮ A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities ⋮ The Moser-Trudinger-Onofri inequality ⋮ Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results ⋮ Moser–Trudinger–Adams inequalities and related developments ⋮ Constant 𝑄-curvature metrics with a singularity

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