From: Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
p | Theorem 3.1 | Theorem 3.2 | Theorem 3.3 | [ 10 , Lemma 2.3] | [ 19 , Corollary D.1] |
---|---|---|---|---|---|
3 | 2.553767 (16) | 4.423506 (256) | 2.647076 (16) | 1.272533 | 1.291703 × 104 |
4 | 2.506629 (4) | 5.656855 (256) | 3.098954 (16) | 1.553774 | 1.809271 × 104 |
5 | - | 5.721912 (64) | 3.527578 (16) | 1.841950 | 2.275458 × 104 |
6 | - | 5.802230 (64) | 3.922709 (16) | 2.135792 | 2.701890 × 104 |
7 | - | 6.245674 (64) | 4.288114 (16) | 2.434362 | 3.096661 × 104 |
8 | - | 6.727172 (64) | 4.628497 (16) | 2.736941 | 3.465528 × 104 |
9 | - | 7.127190 (64) | 4.947849 (16) | 3.042967 | 3.812726 × 104 |
10 | - | 7.464264 (64) | 5.249352 (16) | 3.351991 | 4.141471 × 104 |
20 | - | 9.162396 (16) | 7.659208 (16) | 6.549949 | 6.789009 × 104 |
30 | - | 10.202188 (64) | 9.485455 (16) | 9.856546 | 8.800592 × 104 |
40 | - | 11.632217 (64) | 10.640059 (64) | 13.218367 | 1.048141 × 105 |
50 | - | 12.907885 (64) | 12.020066 (64) | 16.613831 | 1.195208 × 105 |
60 | - | 14.069728 (64) | 13.258962 (64) | 20.031993 | 1.327453 × 105 |
70 | - | 15.143396 (64) | 14.392550 (64) | 23.466517 | 1.448540 × 105 |
80 | - | 16.146231 (64) | 15.443710 (64) | 26.913400 | 1.560849 × 105 |