The best constant of Sobolev inequality corresponding to biharmonic operator on a disk - Collections

＜research report＞
The best constant of Sobolev inequality corresponding to biharmonic operator on a disk

Creator	Creator Name Nagai, Atsushi 永井, 敦 Affiliation Affiliation Name Nihon University 日本大学
Language	English
Publisher	九州大学応用力学研究所
Publisher	Research Institute for Applied Mechanics, Kyushu University
Date	2009-02
Source Title	RIAM Symposium
Vol	20ME-S7
Issue	11
Publication Type	Version of Record
Access Rights	open access
JaLC DOI	https://doi.org/10.15017/14283
Related DOI	九州大学応用力学研究所研究集会報告 \|\| 20ME-S7 \|\| 11
	RIAM Symposium \|\| 20ME-S7 \|\| 11
	http://www.riam.kyushu-u.ac.jp/
Related URI	九州大学応用力学研究所研究集会報告 \|\| 20ME-S7 \|\| 11
	RIAM Symposium \|\| 20ME-S7 \|\| 11
	http://www.riam.kyushu-u.ac.jp/
Relation	九州大学応用力学研究所研究集会報告 \|\| 20ME-S7 \|\| 11
	RIAM Symposium \|\| 20ME-S7 \|\| 11
	http://www.riam.kyushu-u.ac.jp/
Abstract	We generalize our recent results on Sobolev inequalities to multi-variable case. In particular, investigating Green function of biharmonic operator on a disk, we find the best constant of the correspo...nding Sobolev inequality. This is a joint work with Yoshinori Kametaka of Osaka University and Alexander P. Veselov of Loughbourough University.show more

File	FileType	Size	Views	Description
Article_No_11	pdf	171 KB	142

Record ID	14283
Peer-Reviewed	Unrefereed
Notes	九州大学応用力学研究所研究集会報告 No.20ME-S7 「非線形波動の数理と物理」
Notes	RIAM Symposium No.20ME-S7 Mathematics and Physics in Nonlinear waves
Type	研究報告書
Created Date	2009.05.13
Modified Date	2023.02.21