著者

Morii Kei Sato Tokushi Wadade Hidemitsu

出版者

Elsevier Ltd

雑誌

Nonlinear Analysis: Theory, Methods & Applications (ISSN:0362546X)

巻号頁・発行日

vol.73, no.6, pp.1747-1766, 2010-09-15

被引用文献数

6

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We investigate the sharp constants in a Brézis–Gallouët–Wainger type inequality with a double logarithmic term in the Hölder space in a bounded domain in Rn. Ibrahim, Majdoub and Masmoudi gave the sharp constant in the two-dimensional case. We make precise estimates to give the sharp constants, and pass to the case of higher dimensions n≥2. We can also show that the inequality with fixed constants including the sharp ones admits an extremal function under a suitable condition when the domain is a ball.