Mendeley desktop won't work on ubuntu 16.04

Open a terminal and run

sudo apt-get install libqtsvg4-perl libqtwebkit4

I had this exact error and after Mark Kirby's answer I still had the problem. After running the above, now Mendeley launches and syncs all my data (yeah!).

What I don't know is if it was just what I wrote above or if you need this and also Mark Kirby's answer both.

Source of answer: http://ubuntuforum-br.org/index.php?topic=120046.0

You seem to be missing some dependencies qtwebkit and qtsvg

Open a terminal and run

sudo apt install qt4-dev-tools

Now try to run it again.