Help Screen issue

[suplexx]

My samsung galaxy nexus has a thin (about 1px) veritcal line across the screen. When pressure is applied around the top of the line, the line will dissappear, and come back when pressure is releaved. If pressure is applied, sometimes the line will go away for an extended amount of time (sometimes 4 or 5 hours). Is there anyway I could repair this myself? I can live with the line if I have to, but would like to know if it's possible to repair myself, and curious to know how much it would cost to repair somewhere else.