Help. Arduino IDE does not run on MAC OSX 10.7

I try to install and run the Arduino IDE on MAC OSX 10.7.

It installs, but after startup the IDE window appears without the menu line. I see an error message flashing by, but I do not see it long enough to read it. I suspect, that the JAVA environment and the Arduino IDE are not compatible. My question:

On MAC OSX 10.7: what should be installed (in other words, what are the prerequisites) on MAC OSX to be able to run the Arduino IDE? Since MAC OSX 10.7 (Lion) does not come with JAVA, the installation and version number of JAVA, and perhaps other packages necessary, should be described in the software download page on the Arduino website.
Can an expert with enough karma explain to me, what I should have besides MAC OSX 10.7?
I have JAVA version 7 update 9 installed.

Thanks in advance.