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2012 Lower Bound for Sharp Constants of Brézis-Gallouët-Wainger Type Inequalities in Higher-Order Critical Sobolev Spaces on Bounded Domains
Kei Morii, Yoshihiro Sawano
Commun. Math. Anal. 12(1): 1-16 (2012).

Abstract

As an application of our previous paper, we give a sufficient condition that Brézis-Gallouët-Wainger type inequalities in higher order critical Sobolev spaces fails.

Citation

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Kei Morii. Yoshihiro Sawano. "Lower Bound for Sharp Constants of Brézis-Gallouët-Wainger Type Inequalities in Higher-Order Critical Sobolev Spaces on Bounded Domains." Commun. Math. Anal. 12 (1) 1 - 16, 2012.

Information

Published: 2012
First available in Project Euclid: 12 August 2011

zbMATH: 1247.46028
MathSciNet: MR2846200

Subjects:
Primary: 46E35

Keywords: exact value , norm of derivatives in higher dimensions , radial homogeneous function , radial logarithmic function

Rights: Copyright © 2012 Mathematical Research Publishers

Vol.12 • No. 1 • 2012
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