you can try to add an entry in your /etc/rc.local file. Something like

echo "nameserver 000.000.000.000" > /etc/resolv.conf

and

echo "nameserver 000.000.000.000 >> /etc/resolv.conf (for additional dns servers)

Note: replacing the 0s with your dns server.

That is a quick and easy way to do it, but I'm sure there is a more finesse answer out there.

see subject. if you can't do that...ask dan? :)

Network Settings, pick the appropriate connection, Configure..., IPv6 Settings, Method Automatic (DHCP) addresses only, then enter the servers you want in the DNS servers: box. Actually, just setting 'Automatic (DHCP) addresses only' may be enough to make NM leave resolv.conf alone, thinking about it.

In the past, I've simply made /etc/resolv.conf immutable - a bit of a blunt instrument - but it seems to work!

chattr +i /etc/resolv.conf

At least that's the canonical reply provided by Dan in similar circumstances, I believe.

After years of fiddling with chattr +i, I have finally accepted it. I would add to that canonical answer “Fix your DHCP server.” I did it and now I don't have to worry about it and my notebook works well anywhere (without my need to fiddle with chattr again). Also “A script in /etc/NetworkManager/dispatcher.d/ covers a multitude of sins.”

You can set an option in the /etc/sysconfig/network-scripts/ifcfg*

PEERDNS=no

to set it on a interface/connection basis. Not sure if there's a global option to set this. Possibly in /etc/sysconfig/network might.