Like people said above, it's usually the flyback's solder connections. Solder it down again and see if it starts working.. (resolder all of the joints just in case)
If it's the PSU module, then that might be a bit trickier to fix.. I ended up in just swapping the PSU for one from another broken 1084 when I was last repairing those.
I tend to swap "PC/AT" power buttons in place of the flimsy ones that were there from the factory. You need to do some modifications to the case, though.. If you replace the switch with an identical one, it'll fail some time again. :-(
At that time at least Philips made some low quality stuff.. The C=1084 / Philips 8833 is otherwise a nice monitor, but they're really ridden with problems. Some work fine for ever and others fail mysteriously.
