This is a common change our lips can undergo over time. There are non-surgical and surgical ways to address this. Non-surgical includes botox injections or fillers. When using botox, the muscles that pull our lips down or frown (depressor anguli oris) are injected and weakened. By doing this, the corner of the lips can have a more up-turned appearance. Fillers are another option. In this case, fillers are injected immediately below the corner of the lip. A little goes a long way here, and with a little additional filler at the corner itself, the lips can be up-turned nicely. Surgically, a lip lift can be performed with an incision just underneath the nose. This is usually done at the time of a facelift or other facial rejuvenation procedure. It addresses the lengthening of the area between the nose and lips which occurs with aging. I would recommend seeing a board certified plastic surgeon to understand all of the options and identify the best to address your concerns.