OK, I have found out, what my gateway should be and when added manually with
Code:
route add -net 0.0.0.0 netmask 0.0.0.0 gw 195.113.92.1 dev wlan0
I can ping to internet IPs. I can't resolve host names, however. When I change the /etc/resolv.conf to what I think should be my DNS, it no longer tells me it cannot resolve hosts when I try pinging e.g. google.com, but it does nothing (I have to ctrl+c).
Moreover, the routing table seems to reset once in a while, the 3G seems to be involved, so the manual setting is certainly not a solution.
I guess I need to make wpa_supplicant work without manually restarting it and perhaps configure the /usr/share/udhcpc/default.script to supply the data I need, but I have to say I am out of my linux depth right now.
At least it seems, it will work, somehow... Any ideas?