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

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.

言及状況

外部データベース (DOI)

Twitter (1 users, 1 posts, 0 favorites)

収集済み URL リスト