Can I go under general anesthesia again after a week?

It would be nice to find one surgeon who is good at doing both. A browlift is relatively quick, whereas a rhinoplasty can take several hours, depending on the surgeon and your situation. I would prefer to do the shorter procedure first (but the swelling from a browlift may interfere with the rhinoplasty).

The ability for a patient to undergo general anesthesia can depend on the patient's health.  You should speak to both anesthesiologists who would be providing your anesthesia for both the rhinoplasty and the brow lift.  They should be able to determine if there would be any concern with you having general anesthesia for two procedures a week apart.  If you are completely healthy, there most likely would not be any problem with having the two general anesthesias in two consecutive weeks.  

It would not be unreasonable to undergo general anesthesia on 2 separate occasions a week apart for brow lifting and rhinoplasty. however, it may be near best interest to see a specialist who can perform both procedures safely and simultaneously.  Best of luck to you!

 Its not a good idea to undergo two general anesthetics  A week apart for elective cosmetic surgery. Probably best to wait at least 1 month in between anesthesia / surgical procedures.  In addition, the nose and the forehead are anatomically related, so it is probably best to perform both of those procedures simultaneously.  Find a surgeon who can perform both procedures and undergo one anesthetic.  Best to discuss this issue with your anesthesiologist and surgeon.

Discuss the planned procedures with your surgeons. A better solution, if you can't find a MD who is experienced in both operations, is to ask the surgeons to do their procedures following one anthers you have one anesthetic and recovery.