Brézis-Gallouët-Wainger type inequality with a double logarithmic term in the Hölder space: its sharp constants and extremal functions

DOI10.1016/j.na.2010.05.012zbMath1208.46034OpenAlexW2121338434MaRDI QIDQ988822

Hidemitsu Wadade, Tokushi Sato, Kei Morii

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.05.012

zbMATH Keywords

Sobolev embedding theoremsharp constantsBrézis-Gallouët-Wainger type inequalitydouble logarithmic termminimizing problem with a unilateral constraint

Mathematics Subject Classification ID

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

Related Items (9)

Sharp constants of Brézis-Gallouët-Wainger type inequalities with a double logarithmic term on bounded domains in Besov and Triebel-Lizorkin spaces ⋮ Lower bound for sharp constants of Brezis-Gallouët-Wainger type inequalities in higher-order critical Sobolev spaces on bounded domains ⋮ On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space ⋮ A new Brézis‐Gallouët‐Wainger inequality from the viewpoint of the real interpolation functors ⋮ Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains ⋮ Certain identities on derivatives of radial homogeneous and logarithmic functions ⋮ Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations ⋮ On theL^∞-maximization of the solution of Poisson's equation: Brezis–Gallouet–Wainger type inequalities and applications ⋮ Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms

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