echo 1 > /proc/sys/vm/oom_dump_tasks
which seems is the most that you can get the kernel to display on out-of-memory errors.
Enables a system-wide task dump (excluding kernel threads) to be
produced when the kernel performs an OOM-killing and includes such
information as pid, uid, tgid, vm size, rss, nr_ptes, swapents,
oom_score_adj score, and name. This is helpful to determine why the
OOM killer was invoked, to identify the rogue task that caused it, and
to determine why the OOM killer chose the task it did to kill.
If this is set to zero, this information is suppressed. On very large
systems with thousands of tasks it may not be feasible to dump the
memory state information for each one. Such systems should not be
forced to incur a performance penalty in OOM conditions when the
information may not be desired.
If this is set to non-zero, this information is shown whenever the OOM
killer actually kills a memory-hogging task.
As per Where can I see a list of kernel killed processes?
Process Accounting could help here.
apt-get install acct
Then try commands like:
or on Ubuntu:
lastcomm -f /var/log/account/pacct