I am offered governmental scholarship (GSch) that I do not want to use for some reasons. I also don't want to lose the chance of PhD in a top university. I would use GSch, if I cannot get funded admission from a top university. Please read my previous question for more explanation of my situation.
My question is that do universities offer an admission without funding? So that, then I will have a chance to say 'I have another source of funding. Let me do PhD there'. For example, will I know I am in the waiting list? Do they put all the rejected students in the list?
Or should I mention about the GSch at the first place? or maybe I should mention it only in applications of some universities.
Would I loose a good acceptance chance of mentioning at the first place, if I wait for rejection/waiting list decision?