# Point charge potential

Hallo!

## Homework Statement

Consider electrostatic Potential of point charge at point (0,0,0)
$$\phi = 1/r$$
I'm trying to calculate $$\Delta\phi$$

## The Attempt at a Solution

Actually it's not a difficult problem outside (0,0,0):

$$\nabla\phi = -\frac{\vec r}{r^3}$$
$$\Delta\phi = 0$$

But i also know, that i should become Dirac-Delta function (charge density for point particle). What is the problem in point (0,0,0)?
I understand that Potential goes there to infinity, but how can i work it out mathematically?

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Meir Achuz