Thank you for all your answers.
So, it's not possible do redirect the requests into the same server with some self server configuration.
The solution is to create an internal DNS.
And about the other possible scenario: have the public IP, and then an internal (local ip) with loopback where the application I install will be assigned to this local IP. I have just to set a new loopback interface (i.e. "ifcfg-lo:1") with has the loopback ip and redirect to eth0?