Suppose $\nu$ is a compactly supported signed measure in $\mathbb R^{n\geq 3}$.
My question:
Is the Coulomb energy still positive?
More precisely $$\iint \frac{1}{\|x-y\|^{n-2}}d\nu(x)d\nu(y)\geq 0\ ?$$
Related questions:
Thank you.
2026-03-28 23:59:14.1774742354
Positivity of Coulomb energy for gerenal measures
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