Nikon camera not working?

I'm having an issue with my digital camera, which is a few years old. I have to press the power button several times to turn on or hold it for a few seconds then it will turn on and shut off. I try several times and it just keeps shutting off after a second or two of turning it on. Even when the battery is fully charged! Should I have to get a new camera or find a replacement battery for it? I really can't afford a new camera right now.

Sounds like a battery problem.