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J-GLOBAL ID：202002287276933855   Reference number：20A2355860

The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers

1812C_60フラーレン異性体上の離散Sobolev不等式の最良定数1812C_60フラーレン異性体上の離散Sobolev不等式の最良定数

Author (6)： Kametaka Yoshinori (Osaka University) ,  Watanabe Kohtaro (National Defense Academy) ,  Nagai Atsushi (Tsuda University) ,  Takemura Kazuo (Nihon University) ,  Yamagishi Hiroyuki (Tokyo Metropolitan College of Industrial Technology) ,  Sekido Hiroto (Kyoto University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 12  Page： 49-52(J-STAGE)  Publication year： 2020 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： fullerene ,  *optimization ,  *inequality ,  spring(machine element) ,  mechanical model ,  rigidity ,  icosahedron
Semi thesaurus term： mechanical model ,  *離散Sobolev不等式

Author keywords (3)： C60 fullerene ,  Buckyball ,  discrete Sobolev inequality

JST classification (2)： Other methods of operations research  (KA03070E) ,  Numerical computation  (JE02000J)

Reference (20)：

• 1) Y. Kametaka, K. Watanabe, A. Nagai and S. Pyatkov, The best constant of Sobolev inequality in an n dimensional Euclidean space, Sci. Math. Jpn., e-2004 (2004), 295-303.
• 2) A. Nagai, Y. Kametaka and K. Watanabe, The best constant of discrete Sobolev inequality, J. Phys. A, 42 (2009), 454014.
• 3) A. Nagai, Y. Kametaka, H. Yamagishi, K. Takemura and K. Watanabe, Discrete Bernoulli polynomials and the best constant of discrete Sobolev inequality, Funkcial. Ekvac., 51 (2008), 307-327.
• 4) H. Yamagishi, A. Nagai, K. Watanabe, K. Takemura and Y. Kametaka, The best constant of discrete Sobolev inequality corresponding to a bending problem of a string, Kumamoto J. Math., 25 (2012), 1-15.
• 5) H. Yamagishi, K. Watanabe and Y. Kametaka, The best constant of three kinds of the discrete Sobolev inequalities on the complete graph, Kodai Math. J., 37 (2014), 383-395.

Terms in the title (4)： フラーレン ,  異性体 ,  不等式 ,  定数