The DS 82, is the form to file for a name change if your passport is over 1 year old. The DS 11 is needed if the passport is over 15 years old. If the passport is under 1 year old it is a DS 5504. In all of these cases, the name you put on the passport in the "Name" section on the first page is the new name.  At the end of the forms it will ask if you have changed your name since the last passport and you can answer accordingly. Incidentally I never complete the paper form, and the Passport Agencies do not prefer them (these are the ones you find at the post office).  I recommend the online form - printed at the end.  It is cleaner, easier to complete, and offers less errors.  It is created with a barcode the government agent scans, and is the reason why it is preferred at the passport agency. Here is the link to is if that helps: https://pptform.state.gov