I have become aware, that there is an AIC: A 08/12, that stipulates, that if you are a member of a flying club, you can park for free. This AIC canceled another AIC from just 2 weeks earlier, where it was a requirement to be member of a Norwegian flying club.
According to Avinors charging calculator:
Charges calculator - Avinor.no, you only have to pay 102.49 NOK in a Terminal Navigation Charge for an aircraft up to 2 tons.
But there is a number of smaller airfields, that is not run by Avinor. I wanted to go to Lysefjord, and close to it, is an airfield called Araksoyene, ENVE.
You find a VFR guide for Norway here:
VFR-guide for Norway - 2011 Edition - Luftfartstilsynet
And a list of airfields in Norway here:
Norskeflyplasser.no