Why does my iPhone 4 turn on and off every few minutes?

So i had this iPhone sitting in the bottom of the lake for about 4-6 hours, i got it out and had it in rice for a few days, then i plugged it in and it kept turning on and off, i was told before that it must be the battery, so i replaced it, and it is still doing this! I can't activate it so i can't get to my home screen, WHICH INCLUDES THE SETTING APP! I put that in big letters because all the answer people say to go to the settings, so i believe this is a hardware issue, but i'm not sure, if you have an answer for me that is helpful and will fix it please tell me! I really appreciate it!

To save power

Uh, the main problem: Sittin in a lake.
Yeah, I'd take it down to best buy if you're really concerned. Maybe a hardware issue with the power switch. It's basically confused right now, the short circuit from the lake-:-/

The best thing to try first is to plug it into iTunes, and try to restore it. After it restores; if it doesn't fix the problem, bring it to an Apple Specialist like Apple store genius or authorized repairs for Apple products. If you have Applecare still under warrenty go to Apple because it will be free and they will even give you a new phone. Also consider selling it and getting the iPhone 5(: Best answer please. Hope this helps.

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