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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)