Lower bound for sharp constants of Brezis-Gallouët-Wainger type inequalities in higher-order critical Sobolev spaces on bounded domains

zbMath1247.46028MaRDI QIDQ662352

Yoshihiro Sawano, Kei Morii

Publication date: 22 February 2012

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1313164482

zbMATH Keywords

norm of derivatives in higher dimensionsradial homogeneous functionradial logarithmic function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space ⋮ Certain identities on derivatives of radial homogeneous and logarithmic functions

Cites Work

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• Brézis-Gallouët-Wainger inequality with a double logarithmic term on a bounded domain and its sharp constants
• Double logarithmic inequality with a sharp constant
• Brézis–Gallouët–Wainger type inequality for Besov–Morrey spaces
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations

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