Question: find a function in 3D

Hello, I'm trying to find a function f(r,r') such that G(r,r')=1/(r-r')+f(r,r'), where r=sqrt((x-x')^2+(y-y')^2+(z-z')^2). I have 6 boundary conditions of the form: G(x,y,a)=0, G(x,y,-a),=0, G(b,y,z)=0, G(-b,y,z)=0, G(x,c,z)=0, G(x,d,z)=0 where a,b,c,d are known constants. How do I do that in maple? Thanks
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