I’ve never had this problem before, but whenever I click the icon to open it, it darkens like it’s opening, then it doesn’t. When my computer does this with anything else, I turn it off for a while and do something else, and if it still doesn’t work, I restart it, both of these haven’t worked, and I really would prefer to not have to use anything else for my writing considering everything is saved on there.
Have you tried starting the application via the menu as well as the shortcut (icon)? Has it just stopped working? Have you changed anything, performed an upgrade, etc.?
Can you update to LO4.0.4. I remenber there was some problems with startup for 3.6.