Generally when that happens it's graphic card related. And yes sometimes changing the Java version fixes it. Try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire Also if you didn't see it before, have a look at
The way to fix the Blank screen on startup
Which graphics card brand & model, & which driver version does it have? I believe the driver version can play a difference for some cards & also changing the settings back to default or reducing the 3D setting.