TITLE:
The Best Constant of Discrete Sobolev Inequality on a Weighted Truncated Tetrahedron
AUTHORS:
Yoshikatsu Sasaki
KEYWORDS:
The Best Constant, Sobolev Inequality, Discrete Laplacian, Weighted Graph, Truncated Polyhedron
JOURNAL NAME:
World Journal of Engineering and Technology,
Vol.3 No.3C,
October
22,
2015
ABSTRACT: 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.