Apple Inc. (formerly known as Apple Computer) must be feeling pretty sure of itself after finally hammering out the Beatles deal for iTunes with Apple Corps. and its associated partners. The company that makes iPhones is now trying to re-secure the Apple logo trademark that Apple Corps. used for so long. The logo was originally lost to Apple Inc. in 2007 after a settlement gave much of Apple Corps.' trademarks to the computer company, but now Apple Inc. is actually filing for the legendary trademark, per Patently Apple, in order to nail down ownership once and for all.
As I read it, Apple is simply trying to ensure that the Granny Smith logo stays where it legally belongs now: in Cupertino. Apple already had a hold on the trademarks, thanks to that 2007 settlement (which itself paved the way for the Beatles' iTunes release), but this filing was most likely pushed by the legal team and seeks to hammer out a total and complete hold on everything Apple Inc. can use Apple Corps.' trademarks for in the future.