Your monitor clearly has an external power supply so there will be nothing to replace. The caps that would go bad in a monitor that could be easily replace would be part of the PSU board, which you do not have.
Thanks. That helps clarify my situation. I replaced my external power supply with a universal one I have and that I know works. I had the same problem. So, the issue is not with the monitor's power supply. Any idea what could be wrong? I called Samsung and was told to send it in for service. However, between the cost of the service ($80) and the shipping cost (at least $50), I do not see the value in it for a 9 year old monitor.