Here's two paragraphs about the lawsuit from Apple Computer's most recent 10Q SEC filing:
"Apple Corps Ltd. v. Apple Computer, Inc.; Apple Computer, Inc. v. Apple Corps Ltd.
Plaintiff Apple Corps filed this action on July 4, 2003 in the High Court of Justice, Chancery Division, in London alleging that the Company has breached a 1991 agreement that resolved earlier trademark litigation between the parties regarding use of Apple marks. Plaintiff seeks an injunction, unspecified damages and other relief. The Company filed a motion on October 13, 2003, challenging jurisdiction in the U.K. The Court denied this motion on April 7, 2004. The Company filed an appeal of the Court’s decision but subsequently withdrew the appeal. In November 2004, Apple Corps served the Company with an Amended Bill of Particulars and on December 23, 2004 the Company filed a Defence. Trial is set for the week of March 27, 2006.
On October 8, 2003, the Company filed a lawsuit against Apple Corps in the United States District Court for the Northern District of California requesting a declaratory judgment that the Company has not breached the 1991 agreement. Apple Corps challenged jurisdiction in the California case but the Court denied that challenge on March 25, 2004. Apple Corps subsequently prevailed on a motion to stay the California case during the pendency of the U.K. action. The Company has dismissed the California lawsuit without prejudice. "