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Tanujgupta17 (talk | contribs) m Added the general version of one of the property. |
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* 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.
*The [[pointwise maximum]] of two subharmonic functions is subharmonic. If the pointwise maximum of a countable number of subharmonic functions is upper semi-continuous, then it is also subharmonic.
*The limit of a decreasing sequence of subharmonic functions is subharmonic (or identically equal to <math>-\infty</math>).
*Subharmonic functions are not necessarily continuous in the usual topology, however one can introduce the [[fine topology (potential theory)|fine topology]] which makes them continuous.
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