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Aubin-Talenti bubble
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Nonlinear analysis
Emden-Fowler transformation
Lane-Emden equation
Created
2026-09-24
Updated
2026-09-24
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At the
energy
-critical exponent
p
=
(
d
+
2
)
/
(
d
−
2
)
, the normalized
Aubin-Talenti bubble
W
(
x
)
=
(
1
+
d
(
d
−
2
)
∣
x
∣
2
)
−
(
d
−
2
)
/2
(1)
solves
Δ
W
+
W
p
=
0
and optimizes the critical
Sobolev embedding theorem
.
Ancestors
(7)
Lane-Emden equation
Emden-Fowler transformation
Nonlinear analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 154
/
1
/
1
/
4
/
Solution
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