What does "limited funding" mean?

Yes I know meet 100% demosntrated need does not mean 100% financial aid. But my family’s income is less than 10000$ a year, so I believe colleges would think that I need full financial aid. Regardless of this I know colleges expect a student contribution of a couple thousand dollars a year. I will be able to pay it from external resources, so I don’t mean a complete “full ride”. But my family will not be able to pay a single dollar to the college tuition.

Also, I know that no one can guarantee a place in a college. I said I had a good chance of getting in because I have higher stats than an average applicant to the school. I know stats are not the only factor but I believe my ecs and awards and etc. is also better than the students who got accepted from my school earlier. So its simply an assumption.