Try this first:
If that doesn't work (this is an untested solution that someone at OverDrive said worked for her):
(Our customer happened to have a Vizio tablet, and the app they suggest below fixed his problem - Jen)
We're sorry to hear that your patron is having this issue. There are a
How to find this setting: Once your patron is in the OverDrive Media Console Android App, they will need to click on their 'Menu' button and select 'App Settings. Once in 'App Settings', there is a section called 'eBook Options'. There, they will see the option for 'Open in Full-Screen Mode'.
If problems persist, we suggest downloading and installing the Spare
1. Delete the Overdrive app. (Books currently on the app will be lost. They will have to be downloaded again by logging into Overdrive and downloading them from the My Bookshelf page.)
2. Download an alternative browser from the Android App Market and make it the default browser. (Do not use the one that is included with the Galaxy Tab) People have had success with Firefox and Dolphin.
3. Reinstall the Overdrive app (again from the Android App Market).