Someone made a video to play on your PSP that will fix dead or stuck pixels. I'm not sure how to do this because I don't have a PSP, but someone can try it out. It has a 60% success rate. You pretty much have nothing to lose. Heres a link to the article and the download of the video.
http://www.psp-vault.com/Article168.psp
http://www.psp-vault.com/Article168.psp