Your question is about adding a feature to the web page to identify these documents. Unfortunately you cannot use the preflight tool suggested in the previous post. You cannot run Acrobat on a server - for technical and legal reasons. This means that you either need to check these files before you upload them, or come up with a different solution.
I would try to identify what is common to these files (e.g. produced by the same application, from the same source, received in a certain time frame, all ported over from an old server, ...) and then try to find those files on the server, download all of them and check them on a client.
If you are creating these files, you may also want to look into why they are corrupt. Bad software usually produces bad PDF files, and you may have to replace the software that creates these files.
If you need help debugging these files, this is what I do as part of my consulting business, so feel free to get in touch with me.
Karl Heinz Kremer
PDF Acrobatics Without a Net
PDF Software Development, Training and More...
http://www.khkonsulting.com