The screen remains black when i turn it on. The power button turns green and blinking but the screen remains black.

The set has a problem that is likely power related===consider having a shop or a tech look at it---cannot wish it away, someone will have to open and check things to even have a chance to fix this.

um u should turn your tv off for like 10 minutes , i think yourr tv is a internet tv so let it cool sometimes sony internet tvs freeze with black screen so try it out.
good luck :)

Lamp is possible----

Mitsubishi TV troubleshooting
Here's something that might also be useful. After you turn on the set, and get the regular red blinky lights, hold down the Device and Menu buttons together for about 5 seconds.
The Power light will start to flash in a two digit sequence.
For example, 3 flashes, then 7 flashes = 37.
Here are the error codes, and the corresponding problem:
12 = No error detected, check power supply.
32 = Lamp Cover is open.
33 = Air filter cover is open.
34 = Lamp abnormality
36 = Light Engine (DMD or Lamp Fan stopped)
37 = Exhaust or Lamp Ballast Fan stopped
38 = Lamp Temperature High
39 = DMD Temperature High
41 = Short is detected
44 = DVI cable between FMT and Engine disconnected

I think maybe its not the monitor thats causing the problem.
Check if your motherboard,processor and HDD are working fine.

Generally, the 1 and 2 Diagnostic LEDs indicate a failure of a PCI expansion card.
http://support.dell.com/support/edocs/systems/dim3100/en/sm/adtshoot.htm#wp1130520
So remove any expansion cards, see if anything changes. If it does, one of the PCI cards is suspect.
If the system has an expansion video card in the PCI-E slot, and removing the PCI cards had no effect, remove the PCI-E video card and connect to the intergrated video port (You may have to remove a black cover from the port) and see if you get video. If you do, then the Expansion video card has failed.

If the power button does not stay on, the monitor might be burned out.

yes if the battery is not shorted if it is it's another story. try removing the battery and see if the ac adapter will power it. if so then its the battery if not you have other troubles.

this is most likely the sustainer board(s) problem. Replacing the sustainer boards should correct this problem for you. you can get the parts at vancebaldwin.com

i had the same problem now my monitor wont even turn on if i do that the power light just keeps blinking maybe its a sign of a dying monitor

Unplug it from the wall, wait 2 minutes and plug it back in. if problem still exists, its probably the main pcb.