The Best Constant of Sobolev Inequality Corresponding to Clamped Boundary Value Problem

Boundary value problems

Kohtaro Watanabe¹  Atsushi Nagai²  Kazuo Takemura²  Yoshinori Kametaka³  Hiroyuki Yamagishi⁴ 

[1] Department of Computer Science, National Defense Academy, Yokosuka, Japan;Department of Liberal Arts and Basic Sciences, College of Industrial Technology, Nihon University, Narashino, Japan;Division of Mathematical Sciences, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan;Tokyo Metropolitan College of Industrial Technology, Shinagawa, Japan

关键词: Classical Solution;    Fundamental Solution;    Sobolev Inequality;    Schwarz Inequality;    Equivalent Norm;   

DOI  :  10.1186/1687-2770-2011-875057

学科分类：数学（综合）

来源: SpringerOpen

【 授权许可】

CC BY