Dementors cannot be killed, that's what JK said. They are sort of immortal, I guess. You can only protect yourself with Expecto Patronum and if you get a Dementor's kiss, well, then your messed up....Since they have no real body, like a living body with mind, heart and soul, you probably couldn't kill them in any way, except maybe weaken them by "grounding" them somewhere not near to people...
I agree with tototo19. As J.K.Rowling said:"You cannot destroy Dementors, though you can limit their numbers if you eradicate the conditions in which they multiply, ie, despair and degradation."
I don't think they can be killed. They can just be repeled. Because they are already sort of dead. . so, you can just use Expecto Patronum (I don't think I spelled that right) against them.