Apigee to local weblogic http application integration

[#1]

Requirement:

I want to use apigee gateway in my DMZ location, where apigee receives the http requests with basic credentials, once the credentials are authenticated, the apigee should redirect the url to my http service running in my weblogic server, the http service running in the weblogic server will process the request and send back the response to apigee... Please let me know the clear cut steps what needs to be done for this requirement.

Just FYI, This should be setup in my our on-premise so there would be no cloud needed.

Thanks

Kalyan