mysql stopped working after no free space on file system [corruption]

I am experiencing the following error when launching MySQL. >can't connect to local MySQL server through socket '/var/run/mysql/mysql.sock' (2)' Check that mysqld is running and that the socket '/var/run/mysql/mysql.sock' exists!` Basically, I have noticed that there is no free space on the partition where MySQL is installed. I freed some space and rebooted, but same error. I have also tried other solutions I've found on Google, such as: safe mode, restarting services, changing ip address. But none of these have worked. By the way, the file /var/run/mysql/mysql.sock is not present. P.S. I am using MariaDB [EDIT] From the logs it looks like the DB got corrupted: [ERROR] InnoDB: Database page corruption on disk or a failed file read of tablespace .... you may have to recover from a backup