Equivalence of optimal \(L^1\)-inequalities on Riemannian manifolds

DOI10.1016/j.jmaa.2014.09.041zbMath1312.35005arXiv1404.3234OpenAlexW2085175216WikidataQ115346065 ScholiaQ115346065MaRDI QIDQ465374

Jurandir Ceccon, Leandro M. Cioletti

Publication date: 31 October 2014

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

Full work available at URL: https://arxiv.org/abs/1404.3234

zbMATH Keywords

sharp Sobolev inequalitiesbest constantextremal maps

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Hypercontractivity property and general optimal \(L^p\)-entropy inequalities on Riemannian manifolds

Cites Work

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• An integral formula for total gradient variation
• Isoperimetric inequalities on compact manifolds
• Normal and integral currents
• Sobolev Inequalities in Familiar and Unfamiliar Settings
• The isoperimetric inequality
• Geometric asymptotics and the logarithmic Sobolev inequality
• Sobolev inequalities in disguise

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