I ran into this issue with SoupUI, where the application is stuck at splash screen and nothing else happens. After banging my head, checking Java path, logs and general common mis-configuration possibilities. I decided to Google and BHAM!, it was configuration err..... we lets not say configuration, since there seems to be an dependency related issue with installation of the SoupUI that comes with its own JRE.
So instead of downloading the executable SoapUI-x32-5.0.0.sh (119.2 MB) (which comes with the JRE in it), we should download SoapUI-5.0.0-linux-bin.tar.gz, just extract it to the desired location and you are good to go.
I am not sure if this issue is seen with OpenJDK as well, since I had Oracle's JDK 7 installed.