Brézis-Gallouet-Wainger-type inequality with critical fractional Sobolev space and BMO

DOI10.1016/j.crma.2018.05.009zbMath1403.46030arXiv1805.06672OpenAlexW2962884753MaRDI QIDQ721030

D. Kharzeev

Publication date: 18 July 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06672

zbMATH Keywords

Brézis-Gallouet-Wainger-type inequality

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) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces ⋮ Fractional Sobolev inequalities revisited: the maximal function approach

Cites Work

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• On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain.
• On critical cases of Sobolev's inequalities
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

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