Incomplete Application on Zillow - Grounds for Denial of Application?

[Katarina Takahashi]

I am listing a property for rent for the first time. I have received 2 applications so far through the Zillow application process, however both applications are missing relevant information, such as rental history and references for the past 5 years (completely or partially), or the other potential tenants over the age of 18 have not submitted their portion of the application. 

If an application is incomplete in these ways, is that grounds for denial of an application? Do I need to follow up with them to get more information?