The Best Constant of Discrete Sobolev Inequality on a Weighted Truncated Tetrahedron

• 作者: Yoshikatsu Sasaki
• 来源期刊: 世界工程和技术(英文)
• 学科: 数学
• 关键词: The Best Constant SOBOLEV Inequality DISCRETE Laplacian WEIGHTED Graph TRUNCATED POLYHEDRON
• 年，卷（期）: 2015,（3）
• 页码范围: 149-154
• 页数: 6页
• 分类号: O1

摘要

The best constant of discrete Sobolev inequality on the truncated tetrahedron with a weight which describes 2 kinds of spring constants or bond distances. Main results coincides with the ones of known results by Kametaka et al. under the assumption of uniformity of the spring constants. Since the buckyball fullerene C60 has 2 kinds of edges, destruction of uniformity makes us proceed the application to the chemistry of fullerenes.