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Radial Sobolev inequality
ID: radial-sobolev-inequality
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Radial Sobolev inequality
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
a
radial function
u
∈
H
1
(
R
d
)
,
∣
u
(
r
)
∣
2
≲
d
r
−
(
d
−
1
)
∥
u
∥
2
∥∇
u
∥
2
.
(1)
This supplies spatial decay without requiring
a
weighted moment.
Total
articles
:
1
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