People such as myself who have a D-Link DI-614+ router have been having a heck of a time exploiting Wipeout Pure's built-in web-browsing capabilities. This is because the DNS server entered into the router overrides the DNS server entered into the PSP. In order to use one of the various PSP-based web portals available, the correspoding DNS server must be entered into the router as the primary DNS server.
Another wrinkle. If you are connecting to the internet via a DSL connection which uses PPPoE, then you will need to update your firmware to the latest version. The firmware that comes factory installed on the PSP does not allow the user to set the DNS servers when using PPPoE, but the latest firmware does.
After adding these two instructions to the normal setup procedure, I am finally surfing the internet with my PSP!
Chris