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  "body": "\n## Summary\n\nA potential, in the sense of classical potential theory, is a nonnegative [[superharmonic function|X4V2S56YQQ]] whose greatest harmonic minorant is $0$.\nIt is the part of a superharmonic function that comes from charge, with no harmonic background left over.\nBy the [[Riesz decomposition theorem|CBZ20SS8RQ]], on a domain with a Green function the potentials are exactly the Green potentials of positive measures.\nThe Newtonian kernel $\\abs{x}^{2-n}$ on $\\R^n$ for $n \\ge 3$ is the basic example.\n\n## Explanations\n\n### L1 human\n\nA positive superharmonic function can be split into a harmonic piece and a piece produced by charges.\nA potential is a function made only of the charge piece.\nIts harmonic piece is zero, which roughly means it fades away at the edge of the domain.\nThe potential $1/\\abs{x}$ of a unit point charge in space is a potential in this sense, while a positive constant is not.\n",
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