THE BEST CONSTANT OF SOBOLEV INEQUALITY WHICH CORRESPONDS TO A BENDING PROBLEM OF A STRING WITH PERIODIC BOUNDARY CONDITION

Yoshinori Kametaka; Kohtaro Watanabe; Atsushi Nagai; Hiroyuki Yamagish; Kazuo Takemura

doi:10.32219/isms.66.2_151

Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai, Hiroyuki Yamagish, Kazuo Takemura

著者情報

キーワード: best constant, Sobolev inequality, Green function, Reproducing kernel

ジャーナルフリー

2007 年 66 巻 2 号 p. 151-168

DOI https://doi.org/10.32219/isms.66.2_151

詳細

抄録

The Green function of periodic boundary value problem with supplementary orthogonality conditions for bending of a string is obtained. The best constant of corresponding Sobolev inequality is found.

責任著者(Corresponding author)

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