Blank scren, led stays green for only one second
Explicit enough to see that's this a a repair shop job. That also probably means a replacement- cost of which will not be much more than repair prices.
One thing how ever- the power supply[which would appear to be the problem] is this built into the screen [that is does the screen have mains power direct? Or is it powered from an external 'Power Brick'
If it is of the Power Brick type - then a new power supply is the answer - get on of the stabilized universal type with a fistful of connectors and a voltage selector switch.