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==Properties==
* A function is [[harmonic function|harmonic]] [[if and only if]] it is both subharmonic and superharmonic.
* If <math>\phi\,</math> is ''C''<sup>2</sup> ([[smooth function|twice continuously differentiable]]) on an [[open set]] <math>G</math> in <math>{\mathbb{R}}^n</math>, then <math>\phi\,</math> is subharmonic [[if and only if]] one has <math> \Delta \phi \ge 0</math> on <math>G</math>, where <math>\Delta</math> is the [[Laplacian
* The [[maxima and minima|maximum]] of a subharmonic function cannot be achieved in the [[interior (topology)|interior]] of its ___domain unless the function is constant, this is the so-called [[maximum principle]]. However, the [[minimum]] of a subharmonic function can be achieved in the interior of its ___domain.
* Subharmonic functions make a [[convex cone]], that is, a linear combination of subharmonic functions with positive coefficients is also subharmonic.
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