The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron

Articles

The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron [CET 2015]
Author(s)
Yoshikatsu Sasaki
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 coinsides 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.
KEYWORDS
discrete Sobolev, weighted truncated tetrahedron
References