Table 7 Computed values of \(\pmb{C_{\infty}(\Omega)}\) for a cube domain Ω and \(\pmb{4\leq q\leq10}\) . The numbers of division n are shown in the corresponding parentheses
From: Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
q | Theorem 3.4 |
|---|---|
4 | 22.627417 (32,768) |
5 | 13.928810 (32,768) |
6 | 10.079369 (32,768) |
7 | 8.000001 (32,768) |
8 | 6.727172 (32,768) |
9 | 5.878938 (32,768) |
10 | 5.278032 (32,768) |