Try the following
1. Try a different battery and observe - replace the battery if a different one works
2. Plug it to a computer using a compatible USB cable and then short press the power button and listen for the 'do ndoo' sound from you computer speaker - if you get the sound, then the phone may require a software reflash.
3. You will sadly have to take the Nokia Asha for service if all the above do not improve it condition.