Static Addresses On DHCP Range
Solution 1:
Have you set the default domain in the DNS settings? Remember that the machine's default domain is sent in the DHCP packet, along with the DNS servers to use. Make sure that everything that comes in DHCP is set in the static case, especially including the DNS server IPs.
For Windows, the place you go for the default domain is the DNS tab in the network connection's Properties | Advanced window. Instead of Default domain, Windows has decided to call it "DNS suffix for this connection"; fill that in; you may also have to check "Use this connection's DNS suffix in DNS registration"