What does "limited funding" mean?

Thank you everyone for your kind advices. I will apply ED to Barnard this fall but I will have many safety schools ready for the regular round. My school is one of the best IB schools in Europe and every year many students from my school get in US colleges even with financial aid. I have never seen anyone who wasn’t able to attend college just because of their financial status. Our counselors do a good job I think. Nevertheless, I know it’s very hard for an international student to get full financial aid from a need-aware university, but I will try least in the early rounds.