If you want to add two or more servers with the same name from different domains to the Applicare console you will have to assign an alias to one or all servers to make each server name unique and recognizable in Applicare.
You can assign an alias to a server by adding the –Dapplicare.agent.name_=<Any Name>_ parameter to the server startup arguments (Replace <Any Name> with the name you want to assign).
After adding the argument, restart the server and add it to the Applicare Console. Applicare will detect the alias and use it instead of the Weblogic server name.