Table 3 Computed values of \(\pmb{C_{\infty}(\Omega)}\) for a square domain Ω and \(\pmb{3\leq q\leq10}\) . 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 |
|---|---|
3 | 5.611920 (16) |
4 | 4.756829 (64) |
5 | 4.000001 (64) |
6 | 3.563595 (64) |
7 | 3.281342 (64) |
8 | 3.084422 (64) |
9 | 2.939469 (64) |
10 | 2.828428 (64) |