Hans,
The outer headlamps are dip/main beam units, whereas the inner lamps are just main beam. From the look of your photograph, it would seem that all 4 headlamps are working on full beam, but the dipped beam filament has blow in the outer right light. There is a separate filament for both main and dipped in the outer units, hence the slight flicker when you change between dip and main.
Check all the connections behind the lights, and if there is no change, I'd say take the outer light off the car and test in it isolation by placing a battery across the terminals in turn. If nothing happens on the dipped terminals, it's a blown filament. If the bulb lights, it must be a break in the wiring somewhere (most likely in the recess behind the lights themselves).
Michael