HP Pavilion dv2000 series of Notebook PC?
This series, the dv6000 series, and the dv9000 series, all have a graphics chipset cooling problem.
(Plus a few other HP and Compaq models)
1) Chip and Chipset are slang terms for I.C.
2) The Integrated Circuit for graphics is a G.P.U.,http://en.wikipedia.org/wiki/GPU
3) The graphics chipset is mounted to the motherboard, with a BGA surface mounthttp://en.wikipedia.org/wiki/Ball_Grid_Array
Compare to an older Intel Pentium 4 processor, that uses a Socket 478 processor socket,http://en.wikipedia.org/wiki/Socket_478
The processor has contact pins on the bottom. (478 of 'em)
The processor socket has matching socket holes. (478)
With a BGA surface mount there are no contact pins, nor socket holes.
Solder Balls take the place of the contact pins, and Copper Pads on the motherboard take the place of the socket holes.
The graphics chipset is set on the motherboard, with the solder balls lining up on the copper pads.
Heat is then applied at a specific temperature and length of time.
This melts the solder balls, and solders the graphics chipset to the copper pads.
(Which in turn solders the graphics chipset to the motherboard)
Due to a poor cooling system, and specifically for the graphics chipset, the chipset overheats.
Constant overheating makes the solder joints partially melt, then when the laptop is off the solder joints cool down.
Cold solder joints result.
This creates a poor contact of graphics chip to motherboard, and what you are seeing. (Or I should say, not seeing)
The best method of repairing the problem is to use a BGA Rework Machine. Not an oven, propane torch, or Godzilla's breath.
Also cooling surface area is added using copper sheeting.
This link is posted for reference, not advertising. Shows you the hardware components, cooling system, and one method of repair.
I do not subscribe to the torch method.
[ Video poster does state in comment, (Show more), that using a BGA Rework Machine is best. ]