Here are your Apple rumors and AAPL news items for Tuesday.

Apple Testing iPhone With 3.95-Inch Screen: The next generation iPhone will feature a completely new screen design, ditching Apple‘s (NASDAQ:AAPL) standard 3.5-inch screen for a 3.95-inch screen, 9to5Mac reports. Prototypes of the new iPhones are in testing at Apple’s headquarters, concealed inside protective shells to hide the new design. The new iPhone not only increases screen size, but adds pixels as well, boosting screen resolution to 640 x 1136 pixels from 640 x 960 pixels found on current iPhone 4 and 4S models. The new iPhone screens have an aspect ratio very close to 16:9, compared to 3:2 for current models, 9to5Mac says.

iPads Used at Greek Debt Negotiatons: 100 iPads were distributed to representatives of banking and financial institutions during April’s talks that led to the restructuring of Greece’s debt, Apple Insider says. The iPads were distributed by Bob Apfel of Bondholder Communications Group in an effort to coordinate the negotiations to get 100,000 worldwide bondholders to agree to the restructuring plan. A special debt-restructuring app was installed on the iPads, which were given to representatives of key financial players, including the Greek Finance Ministry, the Hellenic Exchange and the Bank of Greece, Apple Insider says.

Apple Receives Favorable Ruling in Proview Case: A Hong Kong court has ruled in favor of Apple and dismissed some of Proview Technology’s evidence in the ongoing dispute over which company owns the iPad trademark in China, CultofMac reports. The ruling doesn’t end the case. Chinese officials have already stated that they believe Proview will prevail, and the two sides have been reportedly in settlement talks. The Hong Kong court found that Proview had failed to comply with its instructions in presenting the evidence, but Proview will likely appeal, CultofMac says.

For more about the company, check out our previous Apple Rumors stories.