A note about a Caffarelli-Kohn-Nirenberg type inequality for Euclidean submanifolds

DOI10.1007/s00025-023-01892-9OpenAlexW4360619135MaRDI QIDQ2696291

Márcio Batista, Heudson Mirandola, Feliciano Vitorio

Publication date: 11 April 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01892-9

zbMATH Keywords

interpolationsubmanifoldsGagliardo-Nirenberg inequalityHardy-Sobolev inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Local submanifolds (53B25) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities
• On the Caffarelli–Kohn–Nirenberg inequalities
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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