Attainability of second order Adams inequalities with Navier boundary conditions

DOI10.1007/s11118-022-10053-6OpenAlexW4313527065MaRDI QIDQ6147968

Federica Sani

Publication date: 1 February 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-022-10053-6

zbMATH Keywords

Adams inequalitysymmetrization methodexistence of extremals

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)

Cites Work

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• A sharp inequality of J. Moser for higher order derivatives
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• Extremals for a Moser-Jodeit exponential inequality.
• Adams' inequality and limiting Sobolev embeddings into Zygmund spaces
• Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions
• Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
• Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities
• Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
• Locating the peaks of solutions via the maximum principle II: A local version of the method of moving planes
• Higher order Adams’ inequality with the exact growth condition
• Sharp Adams-type inequalities in ℝⁿ
• Improved Adams-type inequalities and their extremals in dimension 2m
• Adams' Inequality with the Exact Growth Condition in ℝ⁴

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