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Miklós Schweitzer
2007 Miklós Schweitzer
5
5
Part of
2007 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 2007 Problem 5
Source:
3/3/2017
Let
D
=
{
(
x
,
y
)
∣
x
>
0
,
y
≠
0
}
D=\{ (x,y) \mid x>0, y\neq 0\}
D
=
{(
x
,
y
)
∣
x
>
0
,
y
=
0
}
and let
u
∈
C
1
(
D
‾
)
u\in C^1(\overline {D})
u
∈
C
1
(
D
)
be a bounded function that is harmonic on
D
D
D
and for which
u
=
0
u=0
u
=
0
on the
y
y
y
-axis. Prove that
u
u
u
is identically zero.(translated by Miklós Maróti)
Miklos Schweitzer
real analysis
function
college contests