Peeing on door knobs definitely falls into the category of deviant behavior.
One of the pillars of deviant behavior, is that if it is not faced and corrected, it will almost every time get even worse, as the perp feels he either "got away with it" or "it wasn't bad enough to warrant attention".
A second pillar is that it is done to get attention.
In either case, it will provoke a "stronger" behavior next time.
Alerting the police to this person may get him the help he needs.
May God bless,
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If you are reading this in English, . . . thank a Veteran!