Thanks Rick for the idea.
I don't know exactly where to look for that info.
From the UBB log file I see a lot of these:
Script: - Line: Unable to connect to the database! - Can't create UNIX socket (12)
Script: - Line: Unable to connect to the database! - Can't create a new thread (errno 12); if you are not out of available memory, you can consult the manual for a possible OS-dependent bug
Is that what you're referring to? Or should I look at the Plesk log files for something specific?