Sorry but i have a question regarding Laplace Equation,(adsbygoogle = window.adsbygoogle || []).push({});

say if a potential function P represents the inverse square propotional field,

then how am i going to visualize taking twice partial derivative of P is equal to zero?

Because since grad of P is pointing inward (which looks to me is a sink at the centre of the gravitation point (x0,y0,z0)),

so how am i going to say that divergence of grad(P) is equal to zero? (since the grad(P) the vector is pointing inward),

I mean i have seen some proofs of it which leads to the final conclusion of Laplace Equation,

but how am i going to visualize it in a way that it makes sense that grad(P) is pointing no-where? (since divergence of grad(P) should be zero, which means neither sink or source, but isn't gravitation a sink? ).

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# Laplace Equation problem

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