Nokia Corp. sure knows how to get under Apple Inc.’s skin.

After settling a series of patent disputes and entering into a cross-license agreement in 2011, Nokia allegedly outsourced some patents not covered by the deal to other companies. Nokia chose two of Apple’s favorite nonpracticing entities—Acacia Research Corp. and Conversant Intellectual Property Management Inc.—to do Nokia’s dirty work, Apple contends in a breach of contract, unfair competition and antitrust complaint filed in U.S. District Court in San Jose Tuesday.