Laplace equation in a unit ball

1. Apr 4, 2010

isison

1. The problem statement, all variables and given/known data
[PLAIN]http://img641.imageshack.us/img641/9458/93563522.jpg [Broken]

2. Relevant equations
N/A

3. The attempt at a solution
I think the reason I can't solve this problem is possibly I failed to consider some important property of the laplace equation. I just don't have a club where to start. Here's my attempt:

"u" is clearly harmonic inside the unit ball. It seems to me that the relationship to be proved suggests a linear interpolation scheme can be used to determine any point inside the ball, which also suggests the divergent everywhere inside the ball is same??? I'm totally confused from here on.

Last edited by a moderator: May 4, 2017