I also have the same problem. Try pushing on the center of the keyboard after you turn on the machine and get the green lights. I couldn't get the screen to work, but the external monitor would turn on and the laptop would boot. I haven't been able to find a solution, but I'm pretty sure it has to do with a motherboard issue, or something to do with the wireless card, since that's where I have to put pressure in order to get it to POST.
If you find a solution, I'd appreciate it if you could let me know. I found this post using google.com. You can contact my by using firstname.lastname@example.org . Thanks!