Database entries on the official LG website, reveal that the LG G3 mini will be available in the U.S. from AT&T as the LG-D725. No other U.S. carrier is listed. While the specs should pretty much remain the same across all variants of the LG G3 mini, it is not known if the LG G Beat name will be used just for China Mobile, or will be employed globally.
Among the features on the LG G Beat will be support for the Quick Circle case and UI, which will allow users to select certain features of the phone to be opened, even if the case is closed. So far there is no word on availability or pricing for any version of the LG G3 mini or the LG G Beat.
source: PCPOP.com (translated), BlogofMobile (translated) via MyLGPhones