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How to solve the exterior problem on a ball with radius $r$ in the 3d space? I have to found u such that:

$\Delta u = 0$ in $B(0,r)^C$

Thanks!

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    Where's the $r$ coming from?2012-11-02
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    I gathered that much, but there's no $r$ in the expression for $u$, so I don't see why it should vanish as $r\to\infty$. Also, what is $S(0,a)$?2012-11-02
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    I'm sorry this question is wrong. I want to know the solution 3d space for a ball B(0,a) with radius $a$ and center at point 0. $(r,\theta,\phi)$ are spherical coordinates. S is a sphere of radius $a$ with center in 0.2012-11-02
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    You should clarify all of that in the body of the question, itself. That will "bump" the question up on the list, and someone should see it and hopefully be able to answer it.2012-11-02

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