I want acess the Arduino with name, for example in the ESP8266 I can acess the webservice with name ESP8266.local, but with Shield ethernet + Arduino Uno, I not found it. I know that is possible acess with Ip, but I want with name. Does anyone know if there is a library for this?
The Arduino with Ethernet shield doesn't HAVE a name. It has an IP address. DNS is the service that resolves a name to an IP address. The Arduino doesn't do DNS. If it is a client, it can make GET requests using names, IF there is a DNS server available for it to use to resolve the name to an IP address.
If it is a server, some other process must be involved that calls DNS to resolve the name you use to an IP address. But that process won't involve the Arduino.
@PaulS: mDNS is a service introduced by Apple (as Bonjour) and now recognized by most PC operating systems. In such an environment each devices kind of broadcasts it's name on the network with a defined protocol.
@OP: The only library I know that is able to do mDNS is Arduino Ethernet Bonjour. I never used it so you have to try it to check if it's doing what you need.
Thanks, I will try!