L.A. cop killer CHRISTOPHER DORNER mentioned several celebrities in his so-called online "manifesto" before he went on the run including CHARLIE SHEEN, whom he called, quote, "effin' awesome."

Well, Charlie is trying to use Dorner's admiration of him to resolve the situation.  He made a video saying, quote, "You mentioned me in your manifesto, so thank you for your kind words.

"I am urging you to call me.  Let's figure out together how to end this thing."