OK, here is what I have found :
It looks like you don't have your DNS/Name servers set in your wifi. (I've tried to remove my DNS and it was behaving the same way as yours

)
go to Yast control center -> Network devices -> Network card
choose your wifi card -> EDIT -> name servers -> there are 3 fields for 3 name servers.
it is enough to put one or two name servers. If you already have them set and YOU SURE those are the right ones, then try these : NS1 : 192.189.54.17, NS2: 192.189.54.33,
ALso make sure that in ROUTING you have correct Gateway address - most probably the address of your ADSL router if you running ADSL or Access Point address if it is the direct connection to internet.
If this doesn't help, then something happened in installation of drivers, try to reinstall but I doubt it.