Uniqueness Theorem Homework: Static Charges in Vacuum

[captainjack2000]

Homework Statement

I have a situation with a charge distribution for a system of static charges in a vacuum. It then asks to state the uniqueness theorem for such a system.

Homework Equations

The Attempt at a Solution

I know that the uniquessness theorem means that once you have found one solution to the system you have found THE solution. But how does this change for different systems? Is this a good enoug answer to what is the uniqueness theorem?

 

[latentcorpse]

perhaps you could be a little more explicit such as if we can find phi,psi such that del^2 phi = - rho/epsilon_0 and del^2 psi = - rho/epsilon_0 then phi=psi but id say it looks fine. perhaps someone else will disagree though...