3 (at least) power capacitors
(I used Radio Shack part #272-1032. Any capacitor with the rating of 1000uf @ 10v or better should do though.)
A phillips head screw driver.
A soldiering iron
I take no responsibility if this does not fix your screen! I did this to two of them that would no power on at all before and now they work flawlessly. This is a common problem with these monitors since HP used such cheap parts. Good luck!
Step 1: Remove stand cover.
Step 2: Remove front cover.
Step 3: Remove screen from rear housing.
Step 4: Time to reveal the good stuff!
Remove the two screws and gently pull out the cable from the bottom of the video and sound board (smaller cover on the left). There should be some "metal" tape along the bottom, just peel it off of the cover, leaving it attached to the frame so you can reattach it later. Putting this shielding tape back in place when reassembling, helps insure noise doesn't interfere anywhere.
Thanks for the heads up Donald Scott!