You have three ways in order to accomplish this (one of them will cost you money!)
- Check this Question and this java library and create a Servlet for Authentication behavior, but this way you won't be able to make ADF Security works, and you have to implement Security yourself
- Check this article and that article to enable Kerberos with Weblogic, and in your ADF application in web.xml make the security as CLIENT-CERT, if you managed to use that ADF Security should work fine
- Consider using Oracle Single Sign On solution which will require you paying for license
PS: All this solution will only work on IE & Chrome out of the box, you will have to make some configurations to make it work with firefox,