When booting in live mode, the DHCP client script never updates /etc/resolv.conf for both nameservers, or search domains. To do anything requiring DNS in live mode, I always have to edit /etc/resolv.conf manually. When installing to HD, the dhcp client does update /etc/resolv.conf automatically, so I'm not sure if this is truly a bug, or intended behaviour, but it is annoying to never have DNS working in live mode. This goes back to at least the last couple releases of aptosid as well, so it's not a new bug.