Shutdown immediately during boot [1s], but can boot into DFU mode

Hello everyone,

I have received a broken iPhone 4S from my friend, and I would like to ask for some advices from experts here :)

Symptom:

- Press power button -> boot up -> shows Apple logo -> shutdown (whole situation happens in 1 second)

- Plug into my iMac -> boot up -> shows Apple logo -> shutdown -> boot up -> shows Apple logo -> .... (looping the above case, with the same speed of shutting down)

- Boot into DFU mode, stable running! Plug in to iTunes and try to do a restore -> dead again when iTunes is attempting to reboot the device to do the restore (I guess it left the DFU mode in this stage?)

Does anyone has ideas what's wrong with the device?

Much appreciated for any suggestions, thank you!