What are the treatment options to correct droopy lips in a young patient? (Photos)

You appear to be a good candidate for a lip lift.  A lip lift does 4 things: shortens the distance between your nose and upper lip, increases the mucosa of the upper lip, increases the incisor show and pulls up the corners.  Best Wishes,Gary Horndeski, M.D.

A downturned smile or permanent frown can be improved with a combination approach, including neuromodulators (such as Botox, Dysport, and Jeuveau), injectable fillers, and radiofrequency skin tightening treatments such as Thermage or Venus Legacy. I recommend getting a formal evaluation with an experienced cosmetic dermatologist to develop a treatment plan that works for you. Best, Dr. Emer.

There are surgical and non-surgical approaches to lip augmentation. Non-surgical approaches include botox (slight lift, reducing gum show) and filler (volume restoration). Surgically, you can have two separate incisions under the nose (italian), one incision under the nose (bull horn), one incision at the red/white upper lip junction (gull wing) or two separate incision at the corners, or a combination, depending on your desired look and anatomy. My preferred surgical technique is called the Elelyft, which is a version of the bullhorn approach. 
The ideal candidate for the Elelyft, or upper lip lift, is someone with a philtral length of 14mm or longer, no upper dental show, and/or a thin upper lip. The nasal base to mouth width ratio needs to be taken into consideration to avoid leaving the lip corners down. In your situation, assuming you qualify based on measurements, I would recommend an upper lip lift, lower lip reduction, and DAO botox to bring the corners up. Gary Linkov, MD
Lip Specialist
Manhattan