The 2 places I've sent such off to are ikenfixit.com and notefix.com
Since you don't see the display "light up" at all one common failure is the lcd invertor. The part is highly specific to the laptop. If the part is available you can find it with google. That's for you to find, not me.
Here's an example search.
If it's that, sometimes you can see something on the screen if you shine a bright light on it.
Best of luck,
I have a Sony Vaio model PCG-FX190 laptop with Windows XP Pro on it. I loaned it to my husband for a trip and on his return he reported that it didn't come on.
Symptom: Press 'on', everything sounds good, but screen is black.
This is what I know so far:
1. If I hook up an external monitor, it works fine. So the problem is in the monitor subsystem somehow.
2. The little lights that are under the laptop screen (they are in the lid) come on. So power is getting through the cable that goes from the computer to the lid and through the hinge.
3. The screen is really black. So it's not the back-light that is burnt out. Absolutely nothing is coming on.
4. I tried hitting some Fn+keys. Nothing. I did this somewhat at random as I do not have the manual. I would not say I have excluded the possibility of the screen having been turned off, but I have turned on and off the machine multiple times with no change in behavior. Should I have the laptop hooked up to an external monitor when I try Fn+key? Maybe I need to click something on the screen, like 'ok go back to laptop monitor'....
5. I opened up the lid to see if there was anything obviously wrong. There's nothing obvious -- like an unhooked wire, sign of damage, nada. I've swapped out LCDs and backlights before, and thought I'd replace this LCD but on reflection I realized that the LCD was probably not the problem since neither backlit or video is coming in and those are separate.
6. I was not able to extract any useful information about what happened before it stopped working. My kids were using it to play games and dvds on this trip so it is possible that they inadvertantly changed some setting. Then again it's also possible they dropped it....
Thanks for any ideas if you've dealt with a similar problem!