Comment 4 for bug 1725680

Yes, my wifi provides a DNS nameserver. It's adress is 192.168.44.1, and it is shown when I open System Settings --> WLAN and click on the properties of the connected network. When I manually add this DNS server to resolv.conf, DNS resolution will start working.

What I'm currently using is some sort of a "public facility wifi", where anyone can connect freely to without any authentification (and without encryption). Unfortunately, this is the only network I can test ATM, so I don't know if if would be different on e.g. a WPA2-encrypted private wifi.

Here is the output of the two commands:

$ systemd-resolve --status
Global
          DNSSEC NTA: 10.in-addr.arpa
                      16.172.in-addr.arpa
                      168.192.in-addr.arpa
                      17.172.in-addr.arpa
                      18.172.in-addr.arpa
                      19.172.in-addr.arpa
                      20.172.in-addr.arpa
                      21.172.in-addr.arpa
                      22.172.in-addr.arpa
                      23.172.in-addr.arpa
                      24.172.in-addr.arpa
                      25.172.in-addr.arpa
                      26.172.in-addr.arpa
                      27.172.in-addr.arpa
                      28.172.in-addr.arpa
                      29.172.in-addr.arpa
                      30.172.in-addr.arpa
                      31.172.in-addr.arpa
                      corp
                      d.f.ip6.arpa
                      home
                      internal
                      intranet
                      lan
                      local
                      private
                      test

Link 3 (wlp7s0)
      Current Scopes: DNS LLMNR/IPv4 LLMNR/IPv6
       LLMNR setting: yes
MulticastDNS setting: no
      DNSSEC setting: no
    DNSSEC supported: no
         DNS Servers: 192.168.44.1
          DNS Domain: lan

Link 2 (enp9s0)
      Current Scopes: none
       LLMNR setting: yes
MulticastDNS setting: no
      DNSSEC setting: no
    DNSSEC supported: no

------------------------------------------

$ sudo NetworkManager --print-config
# NetworkManager configuration: /etc/NetworkManager/NetworkManager.conf (lib: 10-dns-resolved.conf, 20-connectivity-ubuntu.conf) (run: 10-globally-managed-devices.conf) (etc: default-wifi-powersave-on.conf)

[main]
# rc-manager=symlink
# auth-polkit=true
# dhcp=dhclient
dns=systemd-resolved
plugins=ifupdown,keyfile

[connectivity]
uri=http://connectivity-check.ubuntu.com/

[ifupdown]
managed=false

[logging]
# backend=journal
# audit=true

[device]
wifi.scan-rand-mac-address=no

[connection]
wifi.powersave=3