Do you see any indicator lights on the front at all? If not, it may have a dead power supply. It can be as simple as blown main AC fuse in the power supply module ( it should be close to where the power cord is plugged in). When the power comes back on, it will usually have high voltage spike/surge due to all big heavy loads that **** down the voltage and rise back up quickly, This one reason I unplug all my electronics when the house lost power. You probably notice that the lights in the house get dim and then get real bright when the power comes back on and settle back to normal a few seconds later.

Basic LCD monitor and TV troubleshooting guide:
http://www.fixya.com/support/r5093881-lcd_flat_panel_tv_troubleshooting_guide
http://www.fixya.com/support/r6150077-basic_lcd_monitors_troubleshooting
http://www.fixya.com/support/r7406380-tv_training_manuals
Failed TV and Monitors pictures: http://s807.photobucket.com/albums/yy352/budm
Learn about bad caps: http://en.wikipedia.org/wiki/Capacitor_plague
Parts: www.shopjimmy.com
Parts: www.interliquidparts.com
Capacitors kit: http://lcdalternatives.auctivacommerce.com/Default.aspx he can make you a set of caps.
Or www.digikey.com, just make sure to use caps with low ESR, 105c, high ripple current and long life rating such as PANASONIC FM or FC series.