Are there successful methods for lowering the outer corner of the eyes?

Yes, we can adjust the corners of your eyes to be higher or lower or more even.  Often times that can be done right in the office.

As you state, most people want more upturned lateral canthus, but it can be lowered if it is too high via canthoplasty with canthal repositioning. 

thank you for your question. Yes, the lateral canthus can be lowered to decrease the upturn of the angle of the eyelids. Consider seeing an ASOPRS trained oculoplastic surgeon in your area for a consultation