Some places have minimums that are below their published mins for graduates of university or special programs (such as ATP). As far as applying below mins, some places have systems that automatically discard resumes that do not meet specific time requirements. Other airlines routinely hire below their minimums if they are really hurting for pilots (like TSA) while others are famous for not budging on their requirements (like Skywest). If you are applying and you don't meet the minimums, hopefully you have something that makes you more competitive. Like another poster said, the worst that can happen is they tell you to update your resume when you meet their minimums or you just wont hear anything at all.